Find the points of local maxima or local minima and corresponding local maximum and local minimum values of each of the following functions. Also, find the points of inflection, if any:
we have,

And f’’(x) =

For maxima and minima,

f'(x) = 0

X = ±4

Now

f’’(4) =

x = 4 is point of maxima

Question

Find the points of local maxima or local minima and corresponding local maximum and local minimum values of each of the following functions. Also, find the points of inflection, if any:

Philoid · Accepted Answer

we have,

And f’’(x) =

For maxima and minima,

f'(x) = 0

X = ±4

Now

f’’(4) =

x = 4 is point of maxima