How do you find the derivative of u=(6+2x^2)^3u=(6+2x2)3?
2 Answers
Dec 30, 2017
Explanation:
we will need the chain rule
substitute back and tidy up
Dec 30, 2017
Explanation:
"differentiate using the "color(blue)"chain rule"differentiate using the chain rule
"given "u=f(g(x)" then"given u=f(g(x) then
(du)/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"
u=(6+2x^2)^3
rArr(du)/dx=3(6+2x^2)^2xxd/dx(6+2x^2)
color(white)(rArr(du)/dx)=12x(6+2x^2)^2