Question

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

Answer 1

`dy/dx=(-4x)/(sqrt(1-4x^4))`

Explanation:

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(sin^-1x)=1/(sqrt(1-x^2)))color(white)(a/a)|)))`

differentiate using the `color(blue)"chain rule"`

`dy/dx=1/(sqrt(1-(-2x^2))).d/dx(-2x^2)`

`rArrdy/dx=(-4x)/(sqrt(1-4x^4))`