Find the derivative of the function.
-$f(x)=(6 x-2)(5 x+7)^{2}$
A) $f^{\prime}(x)=6(5 x+7)+10(6 x-2)(5 x+7)^{2}$
B) $f^{\prime}(x)=6(5 x+7)^{2}+2(6 x-2)(5 x+7)$
C) $f^{\prime}(x)=60(6 x-2)(5 x+7)^{2}$
D) $f^{\prime}(x)=6(5 x+7)^{2}+10(6 x-2)(5 x+7)$

Question

Quizplus · Accepted Answer

The derivative is found using the product rule and chain rule. The product rule is applied to $ (6x-2) $ and $ (5x+7)^2 $, and the chain rule is used for the derivative of $ (5x+7)^2 $.

Find the Derivative of the Function f(x)=(6x−2)(5x+7)2f(x)=(6 x-2)(5 x+7)^{2}f(x)=(6x−2)(5x+7)2 A) f′(x)=6(5x+7)+10(6x−2)(5x+7)2f^{\prime}(x)=6(5 x+7)+10(6 x-2)(5 x+7)^{2}f′(x)=6(5x+7)+10(6x−2)(5x+7)2

Find the Derivative of the Function $f(x)=(6 x-2)(5 x+7)^{2}$ A) $f^{\prime}(x)=6(5 x+7)+10(6 x-2)(5 x+7)^{2}$