For the function in this problem, approximate by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places.
A) -0.298
B) -0.421
C) -0.544
D) -0.187
E) -0.655

Question

For the function in this problem, approximate  by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places. ​  ​
A) -0.298 
B) ​-0.421 
C) -0.544 
D) -0.187 
E) -0.655

Quizplus · Accepted Answer

Using numerical derivative feature of a graphing utility, we get:

$$f'(11) \approx \frac{f(11.001) - f(11)}{0.001} \approx \frac{0.024 - 0.049}{0.001} \approx -0.421$$

Rounding to three decimal places, we get -0.421, which is closest to option B. Therefore, the answer is B.

For the Function in This Problem, Approximate by Using