Calculus 1 Topics Covered: - Partial Derivatives

Instructions: Answer the following problems by showing the complete solution. In return, I will give you a good and high rating. Thank you so much! Special Note to Tutor: Please be careful with the units and measurements in calculations. Thank you!

1.

Find the partial derivatives of f (x, y) = 2x3y2. (a) fx(x, y) = (b) fu (z, y) = (c) fx(2, y) = (d) fx(x, 3) = (e) fu ( 2, y) =\fFind the partial derivative. z = (x2+ 2x - 2y)Let w = x y cos(5z). Find the following. Ow (a) (2, y, z ) = (b) ay (2, y, z) = Ow (c) az (2, y, z ) = Ow (d) Ox ( 2, , z) = (e) ay (2, 2, 2) =(f ) (2, 2, 0) =Confirm that the mixed second-order partial derivatives of f are the same. f(x, y) = 31n(x2 - y?) fm = fur =Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. ay3 axFind fzyx. f ( ac, y, z ) = xy z try' tyz f zyx =