What is the derivative of $arcsin(3-x^2)$ ?

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Answer 1 · 2017-02-23T23:54:05

$(-2x)/sqrt(1-(3-x^2)^2)$

$f(x) = arcsin(3-x^2)$

$f'(x) = 1/sqrt(1-(3-x^2)^2) * d/dx (3-x^2)$
[Standard differential and Chain rule]

$= 1/sqrt(1-(3-x^2)^2) * (0-2x)$

$=(-2x)/sqrt(1-(3-x^2)^2)$

What is the derivative of arcsin(3-x^2)arcsin(3-x^2)?