$$\text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. }$$
-$$y = \ln ( x - 4 )$$
A) $\frac { 1 } { 4 - x }$
B) $\frac { 1 } { x + 4 }$
C) $\frac { 1 } { x - 4 }$
D) $- \frac { 1 } { x + 4 }$

Question

Quizplus · Accepted Answer

Using the chain rule, we have
$$\frac{dy}{dx} = \frac{1}{x-4} \cdot \frac{d}{dx} (x-4)^1 = \frac{1}{x-4} \cdot 1 = \frac{1}{x-4}.$$ Therefore, the answer is choice C.

Find the derivative of y with respect to x,t, or θ, as appropriate. \text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. } Find the derivative of y with respect to x,t, or θ, as appropriate.

$\text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. }$