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
Differentiate y = −8x⁵.
Answer
Question 2
Maya differentiated 9x³ and wrote 27x⁴. What is the correct derivative?
- A. 12x²
- B. 27x⁴
- C. 27x²
- D. 9x²
Question 3
Differentiate y = 5x³.
Answer
Question 4
Kwame differentiated 6x³ and wrote 18x⁴. What is the correct derivative?
- A. 6x²
- B. 9x²
- C. 12x²
- D. 18x²
Question 5
Differentiate y = 6x⁴.
Answer
Question 6
Grace differentiated 8x² and wrote 16x³. What is the correct derivative?
- A. 10x
- B. 8x
- C. 16x
- D. 16x³
Question 7
Differentiate y = −9x³.
Answer
Question 8
Lucia differentiated 4x³ and wrote 12x⁴. What is the correct derivative?
- A. 7x²
- B. 4x²
- C. 12x²
- D. 8x²
Question 9
Differentiate y = −2x⁶.
Answer
Question 10
Maya differentiated 5x⁶ and wrote 30x⁷. What is the correct derivative?
- A. 25x⁵
- B. 30x⁵
- C. 11x⁵
- D. 30x⁷
Question 11
Differentiate y = −5x⁵.
Answer
Question 12
Ana differentiated 6x³ and wrote 18x⁴. What is the correct derivative?
- A. 12x²
- B. 18x⁴
- C. 18x²
- D. 6x²
Question 13
Differentiate y = 3x⁵.
Answer
Question 14
Ana differentiated 9x² and wrote 18x³. What is the correct derivative?
- A. 18x³
- B. 18x
- C. 11x
- D. 9x
Question 15
Differentiate y = x⁷.
Answer
Question 16
Lucia differentiated 4x⁶ and wrote 24x⁷. What is the correct derivative?
- A. 10x⁵
- B. 24x⁷
- C. 24x⁵
- D. 20x⁵
All done? Color in the animal! · Free from eurekami.com/math