00:01
We're given a function and partial derivatives, and we're asked to find these partial derivatives.
00:07
The function is f of x, y, equals x to the 4th, y squared, minus x cubed y.
00:19
And we're asked to find the partial derivative of f with respect to x, then with respect to x, then with respect to x again.
00:26
And also, the partial derivative of f with respect to x, then with respect to y, and then with respect to x, so to do this, i'll first find the partial derivative of f with respect to x.
00:39
To do this, i'll hold y constant and differentiate with respect to x.
00:44
I get 4x cubed y squared minus 3x squared y.
00:51
Then i'll find the second derivative of f with respect to x...