What is the derivative of $sec^-1(x^2)$ ?

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Answer 1 · 2016-08-24T15:24:35

$y=sec^-1x^2 rArr dy/dx=2/(|x|sqrt(x^4-1)$ .

Let $y=sec^-1x^2$

$:. dy/dx=1/(|x^2|sqrt(x^4-1))*d/dx(x^2)$ .

$=(2x)/(|x^2|sqrt(x^4-1))$ .

$:. dy/dx=2/(|x|sqrt(x^4-1)$ .

What is the derivative of sec^-1(x^2)sec^-1(x^2)?