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