Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:

Question

Philoid · Accepted Answer

⇒ x = 0

Now, for values close to x = 0 and to the left of 0,

g’(x) > 0.

Also, for values close to x = 0 and to the right of 0,

g’(x) < 0

Then, by first derivative test,

⇒ x = 0 is point of local maxima and local maximum of g at x = 0 is