Answer to Question #331679 in Calculus for Olga

Question #331679

The derivative of F(x) =12xe^6x

is

a.12e^6x (1 + x)

b.12e^6x (1+ 6x^2)

c.36e^6x (1+x)

d.12e^6x (1+6x)

Expert's answer

F’(x)=(g(x)*f(x))’= g’(x)*f(x)+g(x)*f’(x)

F’(x)=(12xe^6x)’=12e^6x+12x*6e^6x=12e^6x(1+6x)

answer: d

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