For $f ( x ) = - \frac { 3 } { \sqrt { x } }$ , find the average rate of change of f (x) with respect to x as x changes from 144 to 145. Then use calculus to find the instantaneous rate of change at x = 144. Round your answer to six decimal places, if necessary.
A) Average rate of change: 0.000864; Instantaneous rate of change: -0.125
B) Average rate of change: -0.000864; Instantaneous rate of change: 0.000868
C) Average rate of change: -0.000864; Instantaneous rate of change: 0.125
D) Average rate of change: 0.000864; Instantaneous rate of change: 0.000868

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The Answer of For $f ( x ) = - \frac { 3 } { \sqrt { x } }$ , find the average rate of change of f (x) with respect to x as x changes from 144 to 145. Then use calculus to find the instantaneous rate of change at x = 144. Round your answer to six decimal places, if necessary.
A) Average rate of change: 0.000864; Instantaneous rate of change: -0.125
B) Average rate of change: -0.000864; Instantaneous rate of change: 0.000868
C) Average rate of change: -0.000864; Instantaneous rate of change: 0.125
D) Average rate of change: 0.000864; Instantaneous rate of change: 0.000868

For f(x)=−3xf ( x ) = - \frac { 3 } { \sqrt { x } }f(x)=−x​3​

For $f ( x ) = - \frac { 3 } { \sqrt { x } }$