Estimate the derivative of the function $f ( x ) = \frac { x } { 3 } - 3$ at the point $x = 3$ .
A) $-\frac{1}{5}$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 5 }$
D) $- \frac { 1 } { 3 }$
E) $\frac { 1 } { 6 }$

Question

Estimate the derivative of the function $f ( x ) = \frac { x } { 3 } - 3$ at the point $x = 3$ .  
A) $-\frac{1}{5}$
B) $\frac { 1 } { 3 }$
C)   $\frac { 1 } { 5 }$
D)   $- \frac { 1 } { 3 }$
E)   $\frac { 1 } { 6 }$

Quizplus · Accepted Answer

The derivative of $f(x) = \frac{x}{3} - 3$ is $f'(x) = \frac{1}{3}$, since the derivative of $x/3$ is $1/3$ and the derivative of a constant (-3) is 0.

Estimate the Derivative of the Function f(x)=x3−3f ( x ) = \frac { x } { 3 } - 3f(x)=3x​−3

Estimate the Derivative of the Function $f ( x ) = \frac { x } { 3 } - 3$