Question

if f(x) = \sqrt{x}, find f(7).
f(7) = (type an exact answer.)

Explanation:

Step1: Rewrite function

$f(x)=x^{\frac{1}{2}}$

Step2: Apply power - rule

$f'(x)=\frac{1}{2}x^{-\frac{1}{2}}$

Step3: Substitute x = 7

$f'(7)=\frac{1}{2\sqrt{7}}$

Answer:

$\frac{1}{2\sqrt{7}}$