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Question
Differentiate w.r.t. x the function:
cos (a cos x + b sin x), for some constant a and b.
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 (-sinx) + 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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