What is the derivative of $5arcsin(x^4)$ ?

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Answer 1 · 2015-10-24T18:49:45

$d/dx[5arcsin(x^4)]=(20x^3)/(sqrt(1-x^8))$

We need to use the chain rule here. We differentiate the $5arcsin( )$ part first then multiply that by the derivative of what's inside the brackets.

So:

$d/dx[5arcsin(x^4)]=5d/dx[arcsin(x^4)]$

$=5xx(1)/sqrt(1-(x^(4))^2)xx4x^3$

$=(20x^(3))/(sqrt(1-x^8))$

What is the derivative of 5arcsin(x^4) 5arcsin(x^4) ?