11th Grade Differentiation (Power Rule) Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 11th Grade calculus worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Calculus11th Grade Differentiation (Power Rule) Worksheet — Level 1 — Practice Set 3 — Answers
Use the power rule: d/dx(axⁿ) = naxⁿ⁻¹.
1.Differentiate y = −x + 4
Answer: dy/dx = −1
- d/dx(−x) = −1
- The derivative of the constant 4 is 0
2.Differentiate y = −2x2 + 7x
Answer: dy/dx = −4x + 7
- d/dx(−2x2) = −4x
- d/dx(7x) = 7
3.Differentiate y = −4x − 2
Answer: dy/dx = −4
- d/dx(−4x) = −4
- The derivative of the constant −2 is 0
4.Differentiate y = 7x3 + 9x2
Answer: dy/dx = 21x2 + 18x
- d/dx(7x3) = 21x2
- d/dx(9x2) = 18x
5.Differentiate y = −x + 9
Answer: dy/dx = −1
- d/dx(−x) = −1
- The derivative of the constant 9 is 0
6.Differentiate y = −4x2 − 7x
Answer: dy/dx = −8x − 7
- d/dx(−4x2) = −8x
- d/dx(−7x) = −7
7.Differentiate y = 8x2 − 5x
Answer: dy/dx = 16x − 5
- d/dx(8x2) = 16x
- d/dx(−5x) = −5
8.Differentiate y = −6x2 + 9x
Answer: dy/dx = −12x + 9
- d/dx(−6x2) = −12x
- d/dx(9x) = 9
9.Differentiate y = 4x2 + 4
Answer: dy/dx = 8x
- d/dx(4x2) = 8x
- The derivative of the constant 4 is 0
10.Differentiate y = −2x3 + 4x2
Answer: dy/dx = −6x2 + 8x
- d/dx(−2x3) = −6x2
- d/dx(4x2) = 8x
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