Discuss about f have local maxima or minima


Discuss the below:

Q1: For the function, f, given in the graph in following figure:

a) sketch f ‘ (x)

b) Where does f ‘ (x) change its sign?

c) Where does f ‘ (x) have local maxima or minima?

1051_Function of f.jpg

Q2: Write a short paragraph (using complete sentences) which describe the relationships between the following features of a function f:

a) the local maxima and minima of f

b) the points at which the graph of f changes concavity

c) the sign changes of f'

d) The local maxima and minima of f'

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Mathematics: Discuss about f have local maxima or minima
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