Hi,
I've seen a couple of proofs for the chain rule, and I know this probably sounds stupid, but I'm wondering why it can't be proved as follows:
given the real valued functions y=f(u), u=g(x)
since dy, du, dx, are all real valued functions as well
can't you just state...
Original question:
Let w = y^2 + xz. If x = rcos(theta), y = rsin(theta), and z = z, find (partial w)/(partial r) and (partial w)/(partial theta).
Could someone please check my answers?
(partial w)/(partial r) = zcos(theta) + 2ysin(theta)
(partial w)/(partial theta) = -rzsin(theta)...
Hey what's up,
The problem is...find the derivative of:
y= x^2 sec(x-5)
My question is...Would I start off by using the product rule and combine the chain rule with it, with x-5 being the inner function and sec(u) being the outer function? thanks...
Hey what's up,
I had a question on the chain rule...How would I use the chain rule on a quotient...like if i have 1/(t^4 + 1)^3 , Would I use the quotient rule first, or just start with the chain rule?
Does anyone know how to do this with chain rule?
If a cone has height 1 m and radius 30 cm, and the height is increasing at a rate of 1 cm/s, whereas the radius is decreasing at a rate of 1 cm/s, what is the rate of change of the cones volume? Solve the problem using the chain rule...
Can someone give me hints on how to prove the chain rule? I want to be able to learn this.
Let h(x)=f(g(x)), then
h'(x)=\lim\limits_{h \to 0}\frac {f(g(x+h))-f(g(x))}{h}
But what now?
I'm having some trouble understanding why the chain rule comes into play in related rates problems. I'm able to follow the procedure outlined in the text and come up with the correct answer, but I'm not really comfortable moving on from a section until I understand why it works.
The...
I am having a hard time doing the following problems. First off all the notation is confusing the hell out of me. This is the first time i have used this notation so it is making learning very difficult. Here are my questions.
Prove the following function is differentiable, and find the...
I know in Logarithms loga b * logc d = loga d * logc b
and
loga b * logb c = loga c.
Chain Rule.
Now I read Calculus, I found out about the Chain rule, are they the same?? Looks like it. But because of my poor English reading, I couldn't understand the text. Can some one explain what...