How do you find the derivative of #f(x)=(6x-2)^2#?

1 Answer
Jul 22, 2016

Answer:

12(6x - 2)

Explanation:

differentiate using the #color(blue)"chain and power rules"#

#f'(x)=2(6x-2).d/dx(6x-2)=2(6x-2).6#

#rArrf'(x)=12(6x-2)=72x-24#

Alternatively, expand f(x) using FOIL.

#rArrf(x)=36x^2-24x+4# and differentiate using the #color(blue)"power rule"#

#rArrf'(x)=72x-24#