Find dy/dx if y = cos√sin x.

1.	Find dy/dx if y = cos√sin x.
Answer» Given that y = cos√sin x Differentiating both sides with respect to x dy/dx = (d(cos√sin x)/d(√sin x)) x (d(√sin x)/d(sin x)) x (d(sin x)/dx) = (- sin√sin x) x (1/(2√sin x)) x (cos x) = (((sin x√sin x) x (cos x))/(2√sin x))

Answer»

Given that y = cos√sin x

Differentiating both sides with respect to x

dy/dx = (d(cos√sin x)/d(√sin x)) x (d(√sin x)/d(sin x)) x (d(sin x)/dx)

= (- sin√sin x) x (1/(2√sin x)) x (cos x)

= (((sin x√sin x) x (cos x))/(2√sin x))

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Find dy/dx if y = cos√sin x.

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