Question 37
DifferentiationIf y = 3 cos(x/3), find dy/dx when x = 3π/2
- A.2
- B.1
- C.−1
- D.−3
Show the answer and explanation
Answer: C (−1)
Explanation
dy/dx = −sin(x/3). At x = 3π/2, x/3 = π/2, so dy/dx = −1.
If y = 3 cos(x/3), find dy/dx when x = 3π/2
Answer: C (−1)
dy/dx = −sin(x/3). At x = 3π/2, x/3 = π/2, so dy/dx = −1.