00:02
All right, so we're given with f of x, y, okay, equals integral of g of t, vt, t goes from x to y.
00:16
All right.
00:17
So we'll be getting the partial derivatives of f with just x and y.
00:22
But before that, we call the fundamental theorem of calculus in part one.
00:28
That is, if we are given with f of x equals the integral of f of t, b t, t goes from a to x, wherein a as a constant, right? then, okay, the derivative of f of x denoted by f prime of x is equal to small letter f of x.
00:55
So simply substitute the upper limit to the integral.
00:59
Okay.
01:01
So we'll be using this theorem to this one, to this problem.
01:08
Okay.
01:09
So now we'll get the partial derivative of f with respect to x, okay? or simply f prime of xy with respect to x.
01:23
Okay...