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

Now, g’(x) = 0

=

⇒ x² = 4

⇒ x = �2

Since x > 0, we take x = 2

Then, by second derivative test,

⇒ x = 2 is point of local minima and local minimum of g at x = 2 is