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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