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Question
Differentiate the function with respect to x.
cos (sin x)
Solution
Let, y = cos (sin x)
Let, sin x = t
∴ y = cos t
`dy/dt = - sin t, dt/dx = cos x`
`∴ dy/dx = dy/dt * dt/dx`
= - sin t · cos x
= - sin t cos x
= - sin (sin x)cos x
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