Question 36
DifferentiationIf y = (1 − 2x)3, find the value of dy/dx at x = −1.
- A.57
- B.27
- C.−6
- D.−54
Show the answer and explanation
Answer: D (−54)
Explanation
dy/dx = 3(1 − 2x)2 × (−2) = −6(1 − 2x)2. At x = −1 this is −6 × 9 = −54.
If y = (1 − 2x)3, find the value of dy/dx at x = −1.
Answer: D (−54)
dy/dx = 3(1 − 2x)2 × (−2) = −6(1 − 2x)2. At x = −1 this is −6 × 9 = −54.