Solving an Nth Derivative Problem with f(x)= (3x+7)/(x+2)

  • Thread starter AkshayKG1000
  • Start date
  • Tags
    Derivative
In summary, The conversation is about finding the nth derivative of a function, specifically f(x) = (3x+7)/(x+2). The person is new to this topic and is looking for help in solving the problem. They are able to calculate the first derivative but need help finding the nth derivative directly. The expert recommends taking the first several derivatives to find a pattern and shares the pattern they found: [((-1)^n)(n!)]/[(x+2)^(n+1)].
  • #1
AkshayKG1000
2
0
Hey guys,
I'm fairly new to the topic of nth derivative.
can some one please help me in solving this problem?
f(x)= (3x+7)/(x+2).
it would be a great help.
Thanks
 
Last edited:
Physics news on Phys.org
  • #2
Welcome to physicsforums. You forgot to state what your question is. Are you able to, at least, calculate the first derivative?
 
Last edited:
  • #3
yeah dude I can find the first derivative ... I need to find the nth derivative directly ... so is there some simplification or formula to find the nth derivative?
 
  • #4
I recommend taking the first, second, and third derivative.
Perhaps you can post back if you do not see a pattern emerging?
 
  • #5
Take the first several derivatives to help find a pattern. This is what I found:

the nth derivative is [((-1)^n)(n!)]/[(x+2)^(n+1)
 
Last edited by a moderator:

FAQ: Solving an Nth Derivative Problem with f(x)= (3x+7)/(x+2)

What is an Nth derivative problem?

An Nth derivative problem involves finding the nth derivative of a given function. This means finding the derivative of the function n times.

How do you solve an Nth derivative problem?

To solve an Nth derivative problem for a given function, you can use the power rule, product rule, quotient rule, or chain rule as needed. You will need to take the derivative of the function n times, using these rules as necessary.

What is the function f(x)= (3x+7)/(x+2)?

The function f(x)= (3x+7)/(x+2) is a rational function, meaning it is a fraction where both the numerator and denominator are polynomials. In this case, the function has a linear numerator (3x+7) and a linear denominator (x+2).

How do you find the Nth derivative of f(x)= (3x+7)/(x+2)?

To find the Nth derivative of f(x)= (3x+7)/(x+2), you can use the quotient rule to take the derivative of the function. Then, you can use the power rule to take the derivative of the resulting terms, repeating this process N times.

What is the significance of solving an Nth derivative problem?

Solving an Nth derivative problem can help to find the rate of change of a function at a given point, as well as the general trend of the function. It can also be used to find the maximum, minimum, and inflection points of a function.

Similar threads

I Different Substitution for Solving an Integral
Replies
6
Views
547
I Partial derivatives of the function f(x,y)
Replies
6
Views
2K
I General Nth Derivative f(x)=x^x: Solving a Difficult Problem
Replies
5
Views
2K
I How to Find the Derivative of F = f(x)/f(x+dx)?
Replies
15
Views
2K
MHB Derivative of f(x), g(x) and h(x) from Calculus Problem A.1: Solve Urgent"
Replies
5
Views
1K
A How to take the spatial derivative of quaternions
Replies
8
Views
1K
Find nth derivative of e^m(arcsinx) where x=0
Replies
7
Views
2K
MHB Double-Checking Derivative Problems: f(x)'s Explained
Replies
3
Views
2K
B Question about the fundamental theorem of calculus
Replies
2
Views
1K
B Second derivatives and inflection points
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top