Total differential z = 5(x^3)(y^2)

Use differentials to estimate the amount of metal in a closed cylindrical tin can with diameter 8 cm and height 12 cm if the metal on the top and the bottom is 0.2 cm thick and the metal on the sides is 0.1 cm thick.

find f sub x and f sub y f(x,y)=xye^-y

For the function f(x) = 3x² In x, find %3D f'(x) = Preview %3D

Find the average rate of change of the function from a = 1 to x = 2. Enter the exact answer. Average rate of change = 6(2x+h)/x^ f(x) = 6 x2

Wilson's sand and gravel will deliver 12 yd^3 of gravel for $240, 30 yd^3 for $528, and 60 yd^3 for $948. What is the average rate of change of the cost as the number of cubic yards varies from 12 to 30? What is the average rate of change as the number of cubic yards varies from 30 to 60?