What is the derivative of this function $y=sin^-1(3/t^2)$ ?

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Answer 1 · 2017-02-20T21:46:59

See below

$y=arcsin (1/3t^2)$

$siny=1/3t^2$

$cosy dy/dx=2/3t$

$dy/dx=(2t)/(3cosy)=(2t)/(3sqrt(1-1/9t^4))$

What is the derivative of this function y=sin^-1(3/t^2)y=sin^-1(3/t^2)?