What is the derivative of this function #y=cos^-1(-5x^3)#?
1 Answer
May 27, 2017
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#• d/dx(cos^-1(f(x)))=-1/(sqrt(1-(f(x))^2))xxf'(x)#
#y=cos^-1(-5x^3)#
#rArrdy/dx=-1/(sqrt(1-(-5x^3)^2))xxd/dx(-5x^3)#
#color(white)(rArrdy/dx)=(15x^2)/(sqrt(1-25x^6))#
