Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (-3x + 9)5

A. y = u5; u = -3x + 9;  = -3(-3x + 9)5
B. y = u5; u = -3x + 9;  = 5(-3x + 9)4
C. y = u5; u = -3x + 9;  = -15(-3x + 9)4
D. y = 5u + 9; u = x5 = -15x4


Answer: C

Mathematics

You might also like to view...

Identify the units you would expect for the given quantity.The price of pudding, found by dividing its cost in dollars by its weight in ounces.

A. ounce-dollars B. ounces per dollar C. dollars per ounce D. dollar-ounces

Mathematics

Solve the problem.The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 154 square cm. Find the width of the frame.

A. 17 cm B. 14 cm C. 12 cm D. 11 cm

Mathematics

Solve the problem.After t seconds the height s of an object propelled upward with an initial velocity of 3200 feet per second is given by  How long after the object is propelled upward until it first reaches an altitude of 74,000 feet? (Round your answer to 2 decimal places.)

A. 53.37 seconds B. 26.69 seconds C. -20.93 seconds D. 0.36 seconds

Mathematics

Multiply and simplify.( - )

A. 60 
B. 12 
C. 6 - 24
D. 36 - 6

Mathematics