Q. 1 E5.0( 2 Votes )

Find the points o

Answer :

we have f(x) = x ex


f'(x) = ex + xex = ex(x + 1)


f''(x) = ex(x + 1) + ex


= ex(x + 2)


For maxima and minima,


f'(x) = 0


ex(x + 1) = 0


x = – 1


now f''(– 1) = e – 1 = 1/e > 0


x = – 1 is point of local minima


hence, local min = f(– 1) = – 1/e


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