Question

How do you find the derivative of `y = arcsin(3x + 4)`?

Answer 1

`y'=3/sqrt(-9x^2-24x-15)`

Explanation:

`y'=1/sqrt(1-(3x+4)^2) *3`-> chain rule

`y'=3/(sqrt(1-(9x^2+24x+16))`->FOIL

`y'=3/sqrt(1-9x^2-24x-16)`->Distribute the negative 1

`y'=3/sqrt(-9x^2-24x-15)`->Combine like terms