Find the function with derivative f′(x)=e^(5x) that passes through the point P=(0,6/5).
f(x)=
f′(x)=e^(5x)
f(x) = (1/5) e^(5x) + c
given f(0) = 6/5
0 = (1/5) e^0 + c
c = -1/5
f(x) = (1/5) e^(5x) - 1/5
f(x)=
f(x) = (1/5) e^(5x) + c
given f(0) = 6/5
0 = (1/5) e^0 + c
c = -1/5
f(x) = (1/5) e^(5x) - 1/5