Question

use the four-step process to find f’(x) and then find f’(1), f’(2), and f’(3).

f(x) = -x² + 6x - 3

f’(x) = -2x + 6

f’(1) = □ (type an integer or a simplified fraction.)

Explanation:

Step1: Substitute x = 1 into f'(x)

We know that \( f'(x)= -2x + 6 \). To find \( f'(1) \), we substitute \( x = 1 \) into the derivative function.
\( f'(1)=-2(1)+6 \)

Step2: Simplify the expression

First, calculate \( -2(1)= -2 \), then add 6 to it. So, \( -2 + 6 = 4 \).

Answer:

4