00:01
We are given the derivative in this problem is e to the x plus x.
00:09
And what our goal is is to find an original function, f of x, that also passes through the point 0 .03, which is going to be important.
00:23
We're going to have to do that here in a second.
00:24
So the first thing that we need to do is find the correct antiderivative because the anti -derivative will undo the derivative.
00:31
And just for the sake of notation, i like to see the dx here.
00:35
And for me, it's easy to remember that the derivative of e to the x is e to the x.
00:39
So that makes perfect sense.
00:41
Otherwise, i need to add one to the exponent, which is x to the first, and then multiply by the reciprocal of your new exponent.
00:48
But this graph could be shifted up or down because the derivative of a constant is zero...