Q. 85.0( 4 Votes )

Prove that f(x) =

Answer :

f(x) = sin x + 3 cos x


f’(x) = cos x – 3 sin x


Now,


f’(x) = 0


cos x – 3 sin x = 0


cos x = 3 sin x


cot x = 3


x =


Differentiate f’’(x), we get


f’’(x) = – sin x –3 cos x


f’’() =


Hence, at x = is the point of local maxima.


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