Calculus

posted by Andre

What is the derivative of f^3(g(x)) where both are continuous functions?
I used chain rule and got 3f^2(g(x))f'(g(x))g'(x) but it is not right.

  1. Steve

    looks ok to me

    y = f^3(g(x))
    dy/dx = 3f^2 df/dg * dg/dx

    for example,

    y = sin^3(x^2+1)
    dy/dx = 3sin^2(x^2+1) cos(x^2+1) (2x)

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math - Calculus Question.

    hey can someone explain to me the relationship between the chain rule and implicit differentiation?
  2. Calculus (Help)

    Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the …
  3. MoRe HeLp PlEaSe!! (calc)

    Also can I get some help with this LONG, TIRESOME PROBLEM?
  4. Math, Calculus

    Find the derivative of the function. y= xcosx - sinx What's the derivative?
  5. Calculus

    How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
  6. Calculus

    Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first …
  7. Calculus

    Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first …
  8. Calculus

    What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like?
  9. Math (Calculus)

    Hello, Could somebody please help me with the following question?
  10. Calculus

    Find the derivative of [(2+x)/(x-3)]^(2/5) I tried the power of a function rule, quotient rule, the chain rule but keep getting stuck.

More Similar Questions