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In: Math

1) Find the intervals on which f is increasing and the intervals on which it is...

1) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= -x^3-6x

2) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= x^4/4+x^3+x^2

3) Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local​ maxima, local​ minima, or neither.  f(x)= -x^3-3x^2

Solutions

Expert Solution

In this question I have used first derivative to find the intervals of increasing and decreasing. In last question I have used second derivative test to determine whether they are local minima or local maxima. Hope you understand.

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