What is the derivative of $f (x) = 7 arcsin (x^{2})$ $f(x)=7 arcsin(x^2)$ ?

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Answer 1 · 2016-11-07T00:34:18

$f'(x)=(14x)/(sqrt(1-x^4))$

Use the chain rule:
$f(x)=7arcsin(x^2)$
$f'(x)=(7)(1/(sqrt(1-(x^2)^2)))(2x)$

$f'(x)=(14x)/(sqrt(1-x^4))$

What is the derivative of f(x)=7 arcsin(x^2)f(x)=7arcsin(x2)f(x)=7 arcsin(x^2)?