12th Grade Differentiation (Power Rule) Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 12th Grade calculus worksheet.
Success TutoringWorksheetsAnswer sheet12th Grade · Mathematics · Calculus12th Grade Differentiation (Power Rule) Worksheet — Level 1 — Practice Set 2 — Answers
Use the power rule: d/dx(axⁿ) = naxⁿ⁻¹.
1.Differentiate y = 8x3 − 2x
Answer: dy/dx = 24x2 − 2
- d/dx(8x3) = 24x2
- d/dx(−2x) = −2
2.Differentiate y = −3x2 − 5x
Answer: dy/dx = −6x − 5
- d/dx(−3x2) = −6x
- d/dx(−5x) = −5
3.Differentiate y = −3x − 7
Answer: dy/dx = −3
- d/dx(−3x) = −3
- The derivative of the constant −7 is 0
4.Differentiate y = 8x3 − 3x
Answer: dy/dx = 24x2 − 3
- d/dx(8x3) = 24x2
- d/dx(−3x) = −3
5.Differentiate y = 2x + 9
Answer: dy/dx = 2
- d/dx(2x) = 2
- The derivative of the constant 9 is 0
6.Differentiate y = −6x3 − 4x
Answer: dy/dx = −18x2 − 4
- d/dx(−6x3) = −18x2
- d/dx(−4x) = −4
7.Differentiate y = −6x3 − 2
Answer: dy/dx = −18x2
- d/dx(−6x3) = −18x2
- The derivative of the constant −2 is 0
8.Differentiate y = 5x3 + 9x2
Answer: dy/dx = 15x2 + 18x
- d/dx(5x3) = 15x2
- d/dx(9x2) = 18x
9.Differentiate y = 6x2 + 2
Answer: dy/dx = 12x
- d/dx(6x2) = 12x
- The derivative of the constant 2 is 0
10.Differentiate y = −x3 − 2x
Answer: dy/dx = −3x2 − 2
- d/dx(−x3) = −3x2
- d/dx(−2x) = −2
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