Find the second derivatives for each of the following functions

Question

a. f(x) =x2

Answer 1

To find the second derivative of f(x) = x^2, we start by finding the first derivative and then take the derivative of that result:

First derivative of f(x) = x^2:
f'(x) = 2x

Second derivative of f(x) = 2x:
f''(x) = 2

Therefore, the second derivative of f(x) = x^2 is f''(x) = 2.