Question

How to find local max and min from derivative?

a) Set the derivative equal to zero and solve for critical points.
b) Take the second derivative and identify points of inflection.
c) Look for values of x where the derivative is undefined.
d) Calculate the average rate of change over the given interval.

Answer 1

To find local maxima and minima from the derivative, follow these steps: set the derivative equal to zero and solve for critical points, take the second derivative to identify points of inflection, and look for values where the derivative is undefined.

Step-by-step explanation:

To find local maxima and minima from the derivative, you can follow these steps:

a) Set the derivative equal to zero and solve for critical points. These critical points represent potential local maxima and minima.

b) Take the second derivative and identify points of inflection. Points of inflection can help determine if the critical points are local maxima or minima.

c) Look for values of x where the derivative is undefined. These points can also be potential local maxima or minima.