Find the derivative of the function. f(x) = arcsin x^(2)

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to differentiate the function with respect to x, using chain rule, such that:

`f'(x) = (arcsin(x^2))'*(x^2)'`

`f'(x) = 1/(sqrt(1 - (x^2)^2))*(2x)`

`f'(x) = (2x)/(sqrt(1 - (x^4))`

Hence, evaluating derivative of the given function, using the chain rule, yields `f'(x) = (2x)/(sqrt(1 - (x^4)).`

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