0:00
All right.
00:01
Excuse me.
00:01
We've got a question here that give, we're told that given the graph of f passes through the point 25, that the slope of the tangent line at x, f of x, is 3 minus 4 of x and we want to find f of 1.
00:17
All right.
00:18
So here, we want to, we know that the slope of a line is the ratio between the y and the x coordinate.
00:26
So we could say that our slope over the tangent line is 3 minus 4x.
00:37
We could say that the first derivative, excuse me, the first derivative of x, first derivative of the function of x is the slope, which is 3 minus 4x.
00:56
And then if we took the integral of fx, we could calculate.
01:01
If we took the integral of the first derivative of x, we calculate the f of x, which would be 1x, 2x, which comes out to 3x minus 2x squared plus c.
01:30
Okay, we know that the line passes through 0 .25.
01:35
That means that when x is 2, the function of x, is equal to 5...