Question

Asked Jan 20, 2020

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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?

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.

Step 2

Now compute second derivativ...

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