What is the derivative of $arcsin(x^2/4)$ ?

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Answer 1 · 2016-11-22T01:49:04

$d/dx(arcsin(x^2/4)) = x/(2sqrt(1-x^4/16))$

Let $u=x^2/4$

$d/dx(arcsinu) = 1/sqrt(1-u^2) * d/dx(u)$

$d/dx(u) = x/2$

The rest is just plugging in and multiplying $u$ .

What is the derivative of arcsin(x^2/4)arcsin(x^2/4)?