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Question
Differentiate the function with respect to x:
cos (a cos x + b sin x), for some constant a and b.
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Solution
Let, y = cos (a cos x + b sin x)
On differentiating with respect to x,
`dy/dx` = −sin (a cos x + b sin x) [a (−sin x) + b cos x]
= −sin (a cos x + b sin x) [−a sin x + b cos x]
= (a sin x − b cos x) sin (a cos x + b sin x)
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