What is the derivative?
1 Answer
Feb 6, 2018
Explanation:
#"differentiate 3 times using the "color(blue)"chain rule"#
#"given "y=f(g(x))" then"#
#dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"#
#y=3cos(3x)#
#rArrdy/dx=-3sin(3x)xxd/dx(3x)=-9sin(3x)#
#rArr(d^2y)/(dx^2)=-9cos(3x)xxd/dx(3x)=-27cos(3x)#
#rArr(d^3y)/(dx^3)=27sin(3x)xxd/dx(3x)=81sin(3x)#