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

1 Answer
Jim G.
Aug 13, 2016

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))

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