Question

Let be the function defined by , where is a differentiable function. Which of the following is equivalent to the derivative of with respect to ?

1) e raised to the h of x
2) power e raised to the h prime of x
3) power h prime of x
4) times e raised to the h of x

Answer 1

The derivative of the function f(x) = e^(h(x)) is e^(h(x)) * h'(x). None of the options provided are equivalent to the derivative.

Step-by-step explanation:

The derivative of the function f(x) = e^(h(x)) is given by f'(x) = e^(h(x)) * h'(x), where h'(x) is the derivative of h(x).

Therefore, none of the given options is equivalent to the derivative of f(x) with respect to x.