Find all points of inflection on the graph of the function .

Question

Find all points of inflection on the graph of the function  .

Quizplus · Accepted Answer

To find points of inflection, we need to find where the concavity of the function changes. This occurs at points where the second derivative changes sign. The given function is

f(x) = 11x + 5e^-x

The first derivative is

f'(x) = 11 - 5e^-x

The second derivative is

f''(x) = 5e^-x

This is always positive, which means the concavity of the function does not change. Therefore, there are no points of inflection.

The correct answer choice is D, as none of the given choices are correct.

Find All Points of Inflection on the Graph of the Function