Is it true that F(x)=4xe^2x-e^2x+c is an antiderivative of f(x)=4xe^2x

for any constant C?Explain.

Are we supposed to differentiate F(x)?Iam not sure(Thinking)

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- Dec 11th 2009, 06:00 PMmathcalculushelpIs it true?
Is it true that F(x)=4xe^2x-e^2x+c is an antiderivative of f(x)=4xe^2x

for any constant C?Explain.

Are we supposed to differentiate F(x)?Iam not sure(Thinking) - Dec 11th 2009, 06:23 PMskeeter
- Dec 14th 2009, 12:50 PMmathcalculushelpf(x) not equal to F(X)
ok iam differentiating F(x)

here's what i get

i apply product rule for 1st term and second term is as it is..

F(X)=4xe^2x-e^2x+c

(4x)'.(e^2x)-(4x).(e^2x)'-e^2x

(4).e^2x-(4x).e^2x-e^2x

3e^2x-4xe^2x

This is not equal to f(x).Where am I going wrong?