Differentiate axⁿ with the power rule
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.6 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Hiro differentiated 7x⁶ and wrote 42x⁷. What is the correct derivative?
- A. 7x⁵
- B. 42x⁵
- C. 13x⁵
- D. 35x⁵
Question 2
Differentiate y = 6x⁷.
Answer
Question 3
Jamal differentiated 9x⁶ and wrote 54x⁷. What is the correct derivative?
- A. 9x⁵
- B. 54x⁷
- C. 15x⁵
- D. 54x⁵
Question 4
Differentiate y = −3x⁴.
Answer
Question 5
Mei differentiated 3x⁵ and wrote 15x⁶. What is the correct derivative?
- A. 15x⁶
- B. 12x⁴
- C. 15x⁴
- D. 3x⁴
Question 6
Differentiate y = x⁴.
Answer
Question 7
Daniel differentiated 2x⁵ and wrote 10x⁶. What is the correct derivative?
- A. 10x⁴
- B. 7x⁴
- C. 10x⁶
- D. 8x⁴
Question 8
Differentiate y = −x⁶.
Answer
Question 9
Priya differentiated 8x⁴ and wrote 32x⁵. What is the correct derivative?
- A. 12x³
- B. 24x³
- C. 32x⁵
- D. 32x³
Question 10
Differentiate y = −x³.
Answer
Question 11
Lucia differentiated 4x⁴ and wrote 16x⁵. What is the correct derivative?
- A. 16x³
- B. 8x³
- C. 4x³
- D. 16x⁵
Question 12
Differentiate y = 7x⁸.
Answer
Question 13
Kwame differentiated 3x⁶ and wrote 18x⁷. What is the correct derivative?
- A. 18x⁷
- B. 3x⁵
- C. 18x⁵
- D. 9x⁵
Question 14
Differentiate y = 9x⁸.
Answer
Question 15
Isla differentiated 2x³ and wrote 6x⁴. What is the correct derivative?
- A. 6x⁴
- B. 6x²
- C. 5x²
- D. 2x²
Question 16
Differentiate y = 3x².
Answer
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