Find the derivative of f(x) = 2 $\sqrt { x }$ at x = 4.
A) - $\frac { 1 } { 2 }$
B) $\frac { 1 } { 2 }$
C) -1
D) 2

Name: Find the derivative of f(x) = 2 $\sqrt { x }$ at x = 4. A) - $\frac { 1 } { 2 }$ B) $\frac { 1 } { 2 }$ C) -1 D) 2
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Question

Quizplus · Accepted Answer

The derivative of $f(x) = 2\sqrt{x}$ is found using the power rule. Rewrite the function as $f(x) = 2x^{1/2}$. The derivative, $f'(x)$, is $2 \cdot \frac{1}{2}x^{-1/2} = x^{-1/2}$. Evaluating this at $x = 4$ gives $f'(4) = 4^{-1/2} = \frac{1}{2}$.

Find the Derivative of F(x) = 2 x\sqrt { x }x​

Find the Derivative of F(x) = 2 $\sqrt { x }$