Answer
$f(2)=4$
$f(2.1)=3.99$
$f'(2)\approx -0.1$
Work Step by Step
Evaluate $f(2)$ and $f(2.1)$. Then use the slope formula to estimate $f'(2)$:
$f(2)=2(4-2)$
$f(2)=4$
$f(2.1)=2.1(4-2.1)$
$f(2.1)=3.99$
$f'(2)\approx \frac{4-3.99}{2-2.1}$
$f'(2)\approx -0.1$
