What is the derivative of $arcsin(e^x)$ ?

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Answer 1 · 2018-04-25T16:06:12

The answer $1/dxarcsin(e^x)=[e^x/(sqrt(1-(e^x)^2)]]$

show the steps below

$arcsin(u)=1/(sqrt(1-u^2)$

$(du)/dxarcsin(u)=[1/(sqrt(1-u^2)]]*du$

$arcsin(e^x)=1/(sqrt(1-(e^x)^2)$

$1/dxarcsin(e^x)=[e^x/(sqrt(1-(e^x)^2)]]$

What is the derivative of arcsin(e^x)arcsin(e^x)?