00:01
The question asked to find whether this vector field function is a conservative field function, and the way to figure that out is to find the partial derivative of r in respect to y is equivalent to the partial derivative of q in respect to z.
00:14
To find the partial derivative of r in respect to x is equivalent to the partial derivative of p in respect to z.
00:22
And finally, to find the partial derivative of q in respect to x is equivalent to the partial derivative of p in respect to y.
00:30
Being e to the power of x times cosine y, q being negative e to the power of x times sine y, and r being positive c.
00:43
So the partial derivative of r in respect to y, z is a constant, therefore this would be 0.
00:51
The partial derivative of q in respect to z, this acts like a constant.
00:58
There's no z attached, so this will be also zero.
01:01
So these are equivalent...