Derivative

posted by .

given that f, g, and h are differentiable functions f(g(h(x))) = x what is h'(x) in terms of f, g, f', g', and h'?

I plugged in equations on my own like

h(x)= x^4
g(x) = 4th root of x
f(x)= x^2

i need more assistance on how to proceed thnx

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Decide if the following function f(x) is differentiable at x=0. Try zooming in on a graphing calculator, or calculating the derivative f'(0) from the definition. f(x) = x^4sin(2/x), if x is not equal to 0, and f(x) = 0 if x = 0. If …
  2. Calc. checking answer

    Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer …
  3. Calculus

    Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer …
  4. Math

    suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ?
  5. Calculus

    Assuming that f and g are functions differentiable at a (though we do not know their formulas). Prove that f +g is differentiable at a using the definition of the derivative.
  6. Calculus

    given that f, g, and h are differentiable functions and f(g(h(x))) = x, what is h'(x) in terms of f, f', g, g', and h?
  7. Calculus

    Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -4, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) …
  8. Calculus

    Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -5, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) …
  9. Math (Derivative)

    Assume that x and y are both differentiable functions of t and the required values of dy/dt and dx/dt xy=6 a) Find dy/dt, given x=8 and dx/dt=12 b) Find dx/dt, given x=1 and dy/dt=-8 I started with a and got dy/dt=dx/dt(-y/x) Plugging …
  10. Calculus

    If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?

More Similar Questions