Calculus

posted by .

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.

  • Calculus -

    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
School Subject
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

    I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=-3 …
  7. calculus

    Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative
  8. Calculus

    I have y = sin^2(3^(x)) which I rewrite as y = (sin(3^(x)))^2 I got the derivative using the chain rule as the following y' = 3(sin(3^x))^2 (cos(3x)) (3^(x)(ln(3)) Can anyone confirm whether this is right/wrong?
  9. 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?
  10. Math (Calculus)

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

More Similar Questions