Differentiate polynomials term by term
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.6 · England: A-level Pure Mathematics
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Date
Score/ 16
Question 1
Find dy/dx when y = 2x³ + 2x² + 7x + 7.
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Question 2
Differentiate y = 3x³/3 + 2x²/2 + 4x.
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Question 3
Differentiate f(x) = 2x⁴ + 8x² − 7x − 2.
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Question 4
Find dy/dx when y = 5x³ − 8x² − 4x.
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Question 5
Differentiate y = 3x³/3 + 8x²/2 + 9x.
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Question 6
Differentiate f(x) = 3x⁴ − x² − 4x + 12.
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Question 7
Find dy/dx when y = −5x³ + 4x² − 6x − 1.
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Question 8
Differentiate y = 4x³/3 + 8x²/2 − 5x.
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Question 9
Differentiate f(x) = −x⁴ + 3x² + x + 11.
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Question 10
Find dy/dx when y = −5x³ + 6x² + 6x + 4.
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Question 11
Differentiate y = 3x³/3 + 8x²/2 + 9x.
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Question 12
Differentiate f(x) = −4x⁴ + 6x² − 7x − 19.
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Question 13
Find dy/dx when y = 4x³ + x² − 9x − 4.
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Question 14
Differentiate y = 2x³/3 + 2x²/2 + 6x.
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Question 15
Differentiate f(x) = −3x⁴ − 6x² + 2x − 1.
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Question 16
Find dy/dx when y = x³ + 5x² − 6x + 6.
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