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Find dy/dx if y^2 = a^(sqrt x)...

Find dy/dx if
`y^2 = a^(sqrt x)`

Text Solution

Verified by Experts

`y^2 = a^(sqrt x)
implies 2 In y = sqrt x cdot In a implies 2/y dy/dx = (In a)/(2sqrt x)
implies dy/dx =(y In a)/(4sqrt x) = (y^2 In a)/(4ysqrt x) ={(a^ sqrt x) In a}/(4ysqrt x)`
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