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


Answer: C

Mathematics

You might also like to view...

The following figure is composed of one large and three small semicircles. Find the shaded area enclosed by the four semicircles. Give the exact answer.



What will be an ideal response?

Mathematics

Find the vertex, the focus, and the directrix of the parabola.(x + 3)2 = -32(y - 3)

A. V: (3,-3); F: (-3, -5); D: y = 11 B. V: (-3,3); F: (-11,-5); D: y = 11 C. V: (-3,3); F: (-3, -5); D: y = 11 D. V: (-3,4); F: (-3, -5); D: y = 11

Mathematics

Use the given graph of the polynomial function to state whether the leading coefficient is positive or negative and whether the polynomial function is cubic or quartic.

A. Negative; Cubic B. Positive; Cubic C. Positive; Quartic D. Negative; Quartic

Mathematics

Describe the situation with a linear inequality and then solve the inequality.A certain car has a weight limit for all passengers and cargo of 1185 pounds. The four passengers in the car weigh an average of 160 pounds. Use an inequality to find the weight of the cargo that the car can handle.

A. at most 545 pounds B. at most 7 pounds C. at most 592 pounds D. at most 1025 pounds

Mathematics