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Math Help - Is it true?

  1. #1
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    Question Is 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
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  2. #2
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    Quote Originally Posted by mathcalculushelp View Post
    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
    take the derivative of F(x) ... do you get f(x)?
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  3. #3
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    Question f(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?
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