Asked by bryant
Find the function with derivative f′(x)=e3x that passes through the point P=(0,4/3).
what is f(x)=?
i keep getting this one wrong, thank you in advance for ur help!
what is f(x)=?
i keep getting this one wrong, thank you in advance for ur help!
Answers
Answered by
Reiny
I will assume you meant:
f′(x)=e^(3x)
then f(x) = (1/3) e^(3x) + c
but (0, 4/3) lies on it, so ...
4/3 = (1/3) e^(3(4/3)) + c
4 = e^4 + c
c = 4 - e^4
continue
f′(x)=e^(3x)
then f(x) = (1/3) e^(3x) + c
but (0, 4/3) lies on it, so ...
4/3 = (1/3) e^(3(4/3)) + c
4 = e^4 + c
c = 4 - e^4
continue