Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cos3 x

A. y = cos u; u = x3 = - 3x2 sin(x3)
B. y = u3; u = cos x;  = 3 cos2 x sin x
C. y = u3; u = cos x;  = - 3 cos2 x sin x
D. y = cos u; u = x3 = - sin(x3)


Answer: C

Mathematics

You might also like to view...

Find the slope of the polar curve at the indicated point.r = 9 sin 4?, ? = 0

A. 1 + 
B. -1
C. 0
D.

Mathematics

Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 3Density: ? = 

A.
B.
C.
D.

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 

A.

B.

C.

D.

Mathematics

Convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.05 to percent

A. 0.0005% B. 5% C. 50% D. 0.05%

Mathematics