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Differentiate. a^(sin^-1x^2)...

Differentiate.
`a^(sin^-1x^2)`

Text Solution

Verified by Experts

`y=a^(sin^(-1))x^2`
dy/dx=a^(sin^(-1))x^2cdotInacdotd/dx(sin^(-1))`
`=a^(sin^(-1))x^2cdotInacdot1/(sqrt(1-x^4))cdotd/dx(x^2)`
`=a^(sin^(-1))x^2cdotInacdot(2x)/(sqrt(1-x^4))`
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