00:01
In this question, we are going to calculate the partial derivative of f using limit definition.
00:10
So by the definition, we first need to compute f of x plus h, comma y.
00:18
So we just replace every x in the original function with x plus h.
00:24
So it will become something like this, and then we plug it into the formula.
00:30
So from this step to the second, we just multiply both top and bottom by the product of these two denominators.
00:44
So the top will become x plus h multiplied by this denominator and minus x multiplied by this denominator.
00:58
And don't forget to multiply the bottom.
01:01
Bottom by the product of these two denominators.
01:05
And by simplification and consolation, there is only one term on the top left, which is hy square.
01:14
And this each can be cancelled with this bottom one...