#### Question

Find dy/dx if `y=cos^-1(sqrt(x))`

#### Solution

`Let y=cos^(-1)sqrtx`

Differentiating w.r.t x

`dy/dx=d/dx(cos^(-1)sqrtx)`

`=-1/(sqrt(1-(sqrtx)^2))d/dx(sqrtx)`

`=-1/sqrt(1-x)xx1/(2sqrtx)`

`=-(-1)/(2sqrt(x-x^2))`

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#### APPEARS IN

Solution Find dy/dx if y=cos^−1(√x) Concept: Derivative - Derivative of Inverse Function.