Q. 175.0( 2 Votes )

Differentiate the

Answer :

Given,


f(x) = cos (x + a)


Using cos (A + B) = cos A cos B – sin A sin B, we get –


f(x) = cos x cos a – sin x sin a


we need to find f’(x), so differentiating both sides with respect to x –


)


Using algebra of derivatives –


f’(x) =


As cos a and sin a are constants, so using algebra of derivatives we have –


f’(x) =


Use the formula:



f’(x) = – sin x cos a – sin a cos x


f’(x) = – (sin x cos a + sin a cos x)


Using sin (A + B) = sin A cos B + cos A sin B, we get –


f’(x) = – sin (x + a)


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