Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = (4x4y5 + 3)2

A.  = 16x3y5 = 20x4y4
B.   = 40x4y4(4x4y5 + 3);  = 32x3y5(4x4y5 + 3)
C.  = 2(4x4y5 + 3);  = 2(4x4y5 + 3)
D.  = 32x3y5(4x4y5 + 3);  = 40x4y4(4x4y5 + 3)


Answer: D

Mathematics

You might also like to view...

Solve the problem.There are 10 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

A. 6 B. 120 C. 720 D. 1000

Mathematics

Determine whether the equation defines y as a function of x.x =y3

A. Yes B. No

Mathematics

Determine the degree of the polynomial.-2x2 + 5x3 + 6x4 + 1

A. 9 B. 4 C. 2 D. 10

Mathematics

Solve the problem.A rectangular box with volume 277 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x.

A. C(x) = 2x2 + 
B. C(x) = 4x + 
C. C(x) = 3x2 + 
D. C(x) = 3x2 + 

Mathematics