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Question

Mathematics Question on Derivatives

If x=10cos1θ and y=10sin1θx=\sqrt{10^{\cos^{-1}\theta}}\ and\ y=\sqrt{10^{\sin^{-1}\theta}}, then dydx\frac{dy}{dx} is equal to

A

xy

B

xy\frac{x}{y}

C

yx\frac{y}{x}

D

xy\frac{-x}{y}

E

yx\frac{-y}{x}

Answer

yx\frac{-y}{x}

Explanation

Solution

The correct option is (E) : yx\frac{-y}{x}