Q3 of 168 Page 231

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:



⇒ 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



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