00:01
In this question, a function in two variables is given as f of x comma y is equal to x times cosine y plus y times e to the power x.
00:11
We need to find four second order partial derivatives of this function.
00:16
So in the first part, we will calculate the second order derivative of this function, that is with respect to x, considering y as constant.
00:31
So considering y as constant, consider y as constant, calculate fx, that is the derivative of function f with respect to x, considering y as constant.
00:54
So considering y is constant, we will get the derivative of x times cosine y will be cosine y only, plus here this will become y is constant, then this will become y times e to the power x.
01:10
And again, differentiating with respect to x, we will get f x, x, that is second order derivative of f with respect to x, considering y is constant, this cosine y will be differentiated to 0 plus y times e to the power x...