11th Grade Differentiation (Power Rule) Worksheet — Level 1 — 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 — Answers
Use the power rule: d/dx(axⁿ) = naxⁿ⁻¹.
1.Differentiate y = 5x3 − 4x2
Answer: dy/dx = 15x2 − 8x
- d/dx(5x3) = 15x2
- d/dx(−4x2) = −8x
2.Differentiate y = −2x3 − 6
Answer: dy/dx = −6x2
- d/dx(−2x3) = −6x2
- The derivative of the constant −6 is 0
3.Differentiate y = 7x3 − 4x2
Answer: dy/dx = 21x2 − 8x
- d/dx(7x3) = 21x2
- d/dx(−4x2) = −8x
4.Differentiate y = 8x3 − 5x2
Answer: dy/dx = 24x2 − 10x
- d/dx(8x3) = 24x2
- d/dx(−5x2) = −10x
5.Differentiate y = 8x3 + 4
Answer: dy/dx = 24x2
- d/dx(8x3) = 24x2
- The derivative of the constant 4 is 0
6.Differentiate y = −2x3 + 5x
Answer: dy/dx = −6x2 + 5
- d/dx(−2x3) = −6x2
- d/dx(5x) = 5
7.Differentiate y = −6x2 + 5x
Answer: dy/dx = −12x + 5
- d/dx(−6x2) = −12x
- d/dx(5x) = 5
8.Differentiate y = −6x2 + 5
Answer: dy/dx = −12x
- d/dx(−6x2) = −12x
- The derivative of the constant 5 is 0
9.Differentiate y = 5x3 − 7
Answer: dy/dx = 15x2
- d/dx(5x3) = 15x2
- The derivative of the constant −7 is 0
10.Differentiate y = −6x3 − 7x
Answer: dy/dx = −18x2 − 7
- d/dx(−6x3) = −18x2
- d/dx(−7x) = −7
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