What is the derivative of this function $y=cos^-1(2x+1)$ ?

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Answer 1 · 2016-11-07T05:36:29

$(dy)/(dx)=-2/sqrt(1-(2x+1)^2)$

As $y=cos^(-1)(2x+1)$ , we have

$cosy=2x+1$ and differentiating it using chain rule, we get

$-siny xx (dy)/(dx)=2$ or

$(dy)/(dx)=-2/siny=-2/sqrt(1-cos^2y)=-2/sqrt(1-(2x+1)^2)$

What is the derivative of this function y=cos^-1(2x+1)y=cos^-1(2x+1)?