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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Question 1
Find dy/dx when y = −4x³ − 8x² − 5x + 3.
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Question 2
Differentiate f(x) = −3x⁴ + 6x² − x + 17.
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Question 3
Differentiate y = 3x³/3 + 6x²/2 − 3x.
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Question 4
Find dy/dx when y = 2x³ + x² − 4x.
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Question 5
Differentiate f(x) = x⁴ + 5x² − x − 19.
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Question 6
Differentiate y = x³/3 + 8x²/2 + 8x.
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Question 7
Find dy/dx when y = −2x³ + 8x² − 6x + 7.
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Question 8
Differentiate f(x) = x⁴ + 9x² + 4x + 6.
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Question 9
Differentiate y = x³/3 + 4x²/2 + 4x.
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Question 10
Find dy/dx when y = 5x³ − 5x² − 3x − 6.
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Question 11
Differentiate f(x) = 4x⁴ + 6x² + 5x + 12.
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Question 12
Differentiate y = 3x³/3 + 6x²/2 − 2x.
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Question 13
Find dy/dx when y = 3x³ + 8x² + x + 2.
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Question 14
Differentiate f(x) = 2x⁴ − 7x² − x − 7.
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Question 15
Differentiate y = 3x³/3 + 2x²/2 + 2x.
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Question 16
Find dy/dx when y = 2x³ + 8x² − 9x − 6.
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