Differentiate Definition and 227 Threads

differentiate requested please i want to differentiate this equation Id=IsxexponentVd/Vt with respect to Vd to prove Rd=Vt/Id

Homework Statement Find the equation of the tangent line to the following curve at the indicated point: x^(2/3) + y^(2/3) = a^(2/3) at (a, 0) Homework Equations Power rule Chain rule The Attempt at a Solution (2/3)x^(-1/3) + [(2/3)y^(-1/3)](dy/dx) = [(2/3)a^(-1/3)](da/dx)...

My friend came up with the following: 2x=1 \Rightarrow \frac{d}{dx}(2x)=\frac{d}{dx}1 \Rightarrow 2=0. Shamefully I do not see what's wrong with this reasoning! Can someone help me? :)

f(x)= xe^(2x) So I applied the product rule (f • g) = x • e(^2x) + e^(2x) • 1 = xe^(2x) + e^(2x) =2xe^(2x) And got this as my final answer. Would I need to use chain rule? Did I do this correctly?

Homework Statement Air at 300K(=T_s) flows over a flat plate maintained at 400K(=T_f). At a particular location on the plate, the temperature distribution in the air measure from the plate surface is given by T(y)=(T_s-T_f)exp[-22,000*y(m)]+T_f Q.Determine the conduction heat flux through...

Please teach me this: Why specific heat near critical point equals differentiate twice Gibbs free energy with respect to temperature, but not differentiate once with respect to temperature as usually doing. Thank you very much in advance.

Homework Statement 2x^3 - 8xy + y^2 = 1 Homework Equations The Attempt at a Solution d2x^3/dx - d8xy/dx + dy^2/dx = d1/dx 6x^2 -8(y) + dy/dx(-8x) + 2y(dy/dx) = 0 6x^2 - 8y -8x(dy/dx) + 2y(dy/dx) = 0 I am stuck and can't seem to go further. Someone help?

I'm not sure how to differentiate y with respect to x for: y = (7x^2)^[x^2] Any ideas?

Why are they called "differentiate" & "integrate"? I was wondering why. When we differentiate, don't we result in an equation that describes the slopes of many other equations ( + C ) ? So, we'd be "integrating" many equations, different from each other by C, into a single description...

Homework Statement Differentiate each function and if possible express your answer in factoring form y=2t+3 and x=t^2 -t Homework Equations The Attempt at a Solution im really lost on this question but this is what i did so far x=t(t-1) x/t-1=t so: y=2(x/t-1)+3 but now I am...

Homework Statement Hi, this is part of a stats problem, in the solutions they go from: d/dc of ln(1-0.5^c) then next line they have: ln(0.5).[0.5^c]/(1-0.5^c) I don't understand how they did this! Homework Equations The Attempt at a Solution So, I know that the...

Differentiate the following: 3(2x2 +1 ) Heres my attempt 4x.3(2x2+1)^0 anything the the power of 0 = 1 So we have: 12x.(1) = 12x Is this correct?

Homework Statement Hi Say I have for example f(x) = \int_0^x {e^{ - (x - x')} g(x')\,dx'} Then is it correct that the derivative of f(x), f'(x), is given by f'(x) = g'(x) - g(x) obtained by differentiating the integrand, and evaluate the result at x'=x? Best.

Homework Statement The Derivative of x-2/(x^2-1) Can you show me how to get the derivative using the quotient rule and tell me if the order matters? I always thought that the order never mattered until I got a wrong graph because it seems I got the wrong derivative. Homework...

If you would be so kind, I missed today's lecture and do not even know where to begin. i) x = 3t^3 + 6√t + 3/t^2 ii) y = 3sin 2x + 5cos(4x)

Homework Statement Differentiate the following functions with respect to x. a) \int (t2 + cos(t7))/(1 + t4) dt [0, x] b) \int (t2 + cos(t7))/(1 + t4) dt [2, x] c) \int (t2 + cos(t7))/(1 + t4) dt [0, sin x] d) \int (t2 + cos(t7))/(1 + t4) dt [x, sin x] e) \int (x2 + cos(t7))/(1...

Homework Statement differentiate the following funtion: g(x) = x^3*e^-1/x + 3^x*ln(1/x) Homework Equations chain rule and product rule The Attempt at a Solution x^3*d/dg(e^-1/x)d/dg(x)^3 + 3^x sorry...i am very confused!

Homework Statement Find (2/x)^(1/x). Simplify your answer. Homework Equations The Attempt at a Solution I let y = (2/x)^(1/x) lny = ln(2/x)^(1/x) lny= ln(2/x)/x However, I get stuck here and don't know whether I should use e on both sides to get y by itself or to use implicit...

f(t) = K(t) - K(t-T) I want to find \frac{df}{dt} i'm unsure of the notation, does the 3rd term represent K as a function of t-T :facepalm:? I know the 2nd term is showing K is a function of time otherwise it would be written simply Kt, but unsure of the 3rd term. I'm confused :S If the...

Homework Statement If f(x) = \int_{x^2}^{3x} \sqrt{t^3 + x^3} dt then find the expression for f'(x) Homework Equations The Attempt at a Solution Usually I would use the FTC, but since there the variable x occurs in the integrand, I don't know how to differentiate this. Any help?

Homework Statement Differentiate the following functions: a) x3cos(5x)sin(cubedroot(x) + 2) b) tan(1 + cos2(xsin3(x2 + 1))) c) (x2 + (x2 + (x2 + 1)-1)-1)-1Homework Equations The Attempt at a Solution These are the most terrifying questions I have seen thus far in my textbook... I have no...

Homework Statement Find the derivative to: y = 6^{sin(\pi x)} Homework Equations You tell me The Attempt at a Solution I am quite surprised that we are asked to do this when we are just learning the chain rule. We have not learned how to differentiate something like a^x yet...

Homework Statement Let f(x) = ex + ln x Find (f-1) ' (e) Homework Equations let y = f-1 x The Attempt at a Solution I tried finding the inverse of f(x) but got stuck. I arrived at: x = ey + ln y How do I make y the subject of formula?

like N=5053=163*31 and N=169*37=6253 if we do not know the factors and if we do not want to factor them. They both have the same last two digits. I can't think of any test to apply to this kind of numbers ( it's in fact a family of numbers that share the same last two digits but are product of...

I tried to use tex code but it seems to be caching the image on preview, so anyway dy/dx ( x / root x) = 1 / ( 1/2 x^(-1/2) ) however the answer given to me is just ( 1/2 x^(-1/2). What's gone wrong? Spent an hour on this and now unsure if my algebra is wrong. And the tex code that I...

Homework Statement differentiate F=Fi (sin ct) The Attempt at a Solution Fi is a constant = Fi (-cos ct)(c) That is the solution I keep getting, but my buddy keeps getting Fi (- cost ct)/c in other words, he thinks - cost ct should be divided by c, anyone care to...

Differentiate: (6-xe^x)/(x+e^x)=... Evaluate Intergral: (2u^5-8u^3+5u^2)du, from lower limit -1 to higher limit 0. (i got 10/3 for some reason...) (u^7+6u^13)/u^9 du, from lower limit 1 to higher limit 2. (n i got 47 for this..) I tried these a few times but my answer is still...

How to differentiate y = 8 ln x - 9 x with respect to x^2?

the curve y = e^ −1/2x √(1 + 2x) please differentiate this equation i am having some problem.. i want to check my answer My answer : e^-1/2x { (1+2x )^-1/2 + (1+2x)^1/2 (-1/2) } In fact i need to find the x-coordinates and according the booklet the answer of the x-coordinate is 0.5...

Homework Statement Differentiate. f(x) = (x) (square root of (x2+5)) Homework Equations The Attempt at a Solution f(x) = (x) (square root of (x2+5)) =(x)(x2+5)1/2 f'(x)=(x)1/2(x2+5)-1/2(2x)+(1)(x2+5) =x3/(x2+5)1/2+(x2+5)1/2 I'm having problems simplifying. The...

Dear all; I need to find this derivative: \frac{\partial}{\partial \mathbf{a}}\left(E-2\,\mathbf{a}^{\text{T}}\,E[\mathbf{s}]+\|\mathbf{a}\|^2\right) where boldface letters indicates column vectors, the superscript T indicates transpose, and ||.|| is the norm of a vector. Thanks in...

Homework Statement 1) ln { (x^2+x+1) / ( x^2-x+1) } here ln = natural log 2) x^2+x^(2y)=c here c=constant Homework Equations The Attempt at a Solution

Homework Statement I have to differentiate using the long formula [f(x+h)-f(x)] / (h). Homework Equations f(x) = (1)/(2+x), x=2 The Attempt at a Solution First I wrote [ (1/2+x+h) - (1/2+x) ] / (h). Then I created a common denominator in the numerator. I then made the bottom...

Homework Statement The question actually contains a diagram but i don't understand how to draw it, so i'll try to describe it in words. A solution contains phenol, acetic acid, aniline and nitrobenzene. Na2CO3 is added into the solution and two layers are formed: aqueous layer A and ethereal...

Homework Statement Differentiate e^x * cotx / 5sqrtx^2 [Sorry for not using the formatting things. They didn't seem to be working for me, and this is urgent!] Homework Equations The quotient rule seems like that's the way to go... The Attempt at a Solution At first I tried using...

Write the following log equations as exponential equations and vice-versa. 1.) ln 0.5 = - 0.6931 Differentiate with respect to x. 2.) y = e^x(sin x + cos x)

Consider this equation. x^3 = x + 6 If we solve for x we'll get x=2 Now if we differentiate both sides with respect to x, we get 3x^2 = 1 If we now put x=2, we get 3(2)^2 = 12 = 1 Which is of course wrong. So how can we differentiate both sides of an equation when the value...

I'm currently looking for a system which can automate a part of my process. Currently, there is an operator listening for sound, which is distinct enough for the human ear. Upon hearing this sound, he shuts down the system. I would imagine that if an ear can easily differentiate the sound, a...

Where can i get the datasheet? thanks.

For a falling object, who can find the time in terms of the velocity for this journey( before reaching terminal velocity) with considering the resistive force?

Hello everyone, I have a (simple?) question: How do you differentiate a material to be a conductor or a semiconductor? It is just only by examining the material's electrical resistivity/conductivity whether it is low or high? Because I have heard that even some metallic conductors have high...

Hello everyone, I have a (simple?) question: How do you differentiate a material to be a conductor or a semiconductor? It is just only by examining the material's electrical resistivity/conductivity whether it is low or high? Because I have heard that even some metallic conductors have high...

18tan^2(x)sec^2(x) Is this correct? Product Rule I think... 18tan^2(x)sec^2(x) = (18tan^2(x))(2sec^3(x)) + (sec^2(x))(36tan^3(x)) = (36tan^3(1+tan^2(x))) + (36tan^3(1+tan^2(x))) = 2(36tan^3(1+tan^2(x))) 1 more thing is tan x = sec^2(x)? Any 1 has a list of Trigo formulas? Becoz' I am...

. differentiate (4sinx)(cosy)=1 w.r.t x and fine dy/dx Im stuck here (4cos x)(cos y)+ (4sin x)(-sin dy/dx[y])

Homework Statement Use the chain rule to find (d/dx)(xx) by using the function f(y,z)=yz. Homework Equations Chain rule: \frac{dz}{dt} = \frac{\partial z}{\partial x} \frac{dx}{dt} + \frac{\partial z}{\partial y} \frac{dy}{dt} The Attempt at a Solution I honestly have no clue on how to use...

TU= 4 sqr x1 + x2 differentiate by x1 if x1=9 and x2=8

I have come to a situation that I can hardly differentiate an ionic from a covalent compounds! Before this confusion I had firstly known that whenever I find a compound with constituents of atoms with a very large difference in electronegativity, then i just conclude that its ionic, or when I...

1.a Evaluate the following. Show all work. http://img90.imageshack.us/img90/289/problemu.png 1.b Differentiate. http://img293.imageshack.us/img293/1440/problem2.png Homework Equations ƒ b-a f(x)-g(x) The Attempt at a Solution...

sin^7(x)

Here's the problem: Differentiate: http://www.webassign.net/www31/symImages/9/b/f70b139b79e8157ad26bf9782128ae.gif I tried this and somehow came up with 7(x^3/2) - 8(x^1/2). But that is not correct. How do you do this? I really appreciate your help. Thanks.