Find the derivative of the function. $f ( x ) = \sqrt { x - 4 }$
A) $\frac { 12 } { x ^ { 4 } }$
B) $\frac { 1 } { 2 \sqrt { x + 4 } }$
C) $2 x + 4$
D) $\frac { 1 } { 2 \sqrt { x - 4 } }$
E) $- \frac { 1 } { 2 \sqrt { x + 4 } }$

Question

Find the derivative of the function.   $f ( x ) = \sqrt { x - 4 }$  
A) $\frac { 12 } { x ^ { 4 } }$
B) $\frac { 1 } { 2 \sqrt { x + 4 } }$
C) $2 x + 4$
D) $\frac { 1 } { 2 \sqrt { x - 4 } }$
E) $- \frac { 1 } { 2 \sqrt { x + 4 } }$

Quizplus · Accepted Answer

The derivative of $f(x) = \sqrt{x - 4}$ can be found using the chain rule. The outer function is the square root and the inner function is $x - 4$. The derivative of the outer function with respect to the inner function is $\frac{1}{2\sqrt{x - 4}}$, and the derivative of the inner function with respect to $x$ is 1. Multiplying these gives the derivative of $f(x)$ as $\frac{1}{2\sqrt{x - 4}}$.

Find the Derivative of the Function f(x)=x−4f ( x ) = \sqrt { x - 4 }f(x)=x−4​

Find the Derivative of the Function $f ( x ) = \sqrt { x - 4 }$