Question

If f(x) = 2x^2- 7x-29, find f'(x).
f'(x)=
Find f'(2).
f'(2) =

Answer 1

(f'(2) = 1).

Explanation:

The function (f(x) = 2x^2 - 7x - 29).The derivative (f'(x)) is the derivative of (f(x)) with respect to (x): [f'(x) = \frac{d}{dx}(2x^2 - 7x - 29) = 4x - 7]Now, to find (f'(2)), you simply substitute (x = 2) into the derivative (f'(x)): [f'(2) = 4(2) - 7 = 8 - 7 = 1]So, (f'(2) = 1).