Answering all questions correctly will guarantee all points. Thank you in advanc

Question

Answering all questions correctly will guarantee all points. Thank you in advance for the help.

1.)Determine whether

f(x)

has a local minima or local maxima, assuming that the figure below is the graph of

f?'(x).

(Enter your answers as a comma-separated list.)

maximum      x = minimum      x = Answering all questions correctly will guarantee all points. Thank you in advance for the help. 1.)Determine whether f(x) has a local minima or local maxima, assuming that the figure below is the graph of f?'(x). (Enter your answers as a comma-separated list.)

Explanation / Answer

according to the graph f '(x)=0 at x= -2 , x= 1 and x= 4

so thse are the critical points

but at x= -2 there is no sign change in f '(x) so at x=-2 there is neither a maxima nor a nimima

at x= 1

f '(x) changes sign from + to - so at x= 1 we'll get a local maxima

at x= 4

f '(x) changes sign from - to + so at x= 4 we'll get a local mimima

therefore

(mxima, minima) = (1, 4)

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