Question

How do you differentiate `y=7sin^-1(10x)`?

Answer 1

`70/sqrt(1-100x^2)`

Explanation:

`d/dx arcsin(x) = 1/sqrt(1-x^2)`
`d/dx 7arcsin(10x) = 7 * 1/sqrt(1-(10x)^2) * d/dx (10x)` (chain rule)
`= 7/sqrt(1-100x^2) * 10`
`= 70/sqrt(1-100x^2)`