Asked Jan 20, 2020

Suppose that the first derivative of y = ƒ(x) is

y′ = 6(x + 1)(x - 2)2.

At what points, if any, does the graph of ƒ have a local maxi-mum, local minimum, or point of inflection?


Expert Answer

Step 1

To determine if the function has any points of maxima, minima or inflection, use second derivative test to check that.

First to determine the critical points, use first derivative test to do so as.

Calculus homework question answer, step 1, image 1
Step 2

Now compute second derivativ...

Calculus homework question answer, step 2, image 1

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