Q. 75.0( 2 Votes )

f(x) = sin 2x, 0 < x < π

Answer :

We have, f(x) = sin 2x

Differentiate w.r.t x, we get,

f ‘(x) = 2cos 2x, 0 < x,π

For, the point of local maxima and minima,

f ’(x) = 0

= 2x =

= x =

At x = f ’(x) changes from –ve to + ve

Since, x = is a point of Maxima

At x = f ‘ (x) changes from –ve to + ve

Since, x = is point of Minima.

Hence, local max value f = 1

local min value f = – 1

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