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
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?