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Question

Differentiate the following functions with respect to x :

cos(x+a)

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Solution

We have,

ddx{cos(x+a)}

=ddx{cos x.cos asin x.sin a}

[ cos (x+a)=cos x cos asin x sin a]

=cos addx(cos x)sin addx(sin x)

=cos a(sin x)sin a (cos x)

=cos x sin a+sin x+cos a

=(sin x cos a+cos x sin a)

=sin (x+a)


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