Question 38
DifferentiationIf y = 243(4x + 5)−2, find dy/dx when x = 1
- A.−8/3
- B.3/8
- C.9/8
- D.−8/9
Show the answer and explanation
Answer: A (−8/3)
Explanation
dy/dx = 243 × (−2)(4x + 5)⁻³ × 4. At x = 1: −1944/9³ = −1944/729 = −8/3.
If y = 243(4x + 5)−2, find dy/dx when x = 1
Answer: A (−8/3)
dy/dx = 243 × (−2)(4x + 5)⁻³ × 4. At x = 1: −1944/9³ = −1944/729 = −8/3.