Find and use the second derivative
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.B.4 · England: A-level Pure Mathematics
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Date
Score/ 16
Question 1
f(x) = 2x³ + 5x + 1. Find f″(2).
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Question 2
Find d²y/dx² when y = 3x⁴ − 4x³ − 5x² − 5x.
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Question 3
f(x) = 3x³ − 2x² + 2x − 6. Find f″(−2).
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Question 4
Find d²y/dx² when y = 3x⁴ − 5x³ + 4x² − 9x + 7.
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Question 5
f(x) = −x³ + 3x² + 5x + 7. Find f″(−1).
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Question 6
Find d²y/dx² when y = x⁴ − 2x³ + 7x + 4.
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Question 7
f(x) = x³ − 4x² − 3x + 7. Find f″(−1).
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Question 8
Find d²y/dx² when y = 2x⁴ + x³ + 4x² + 8x − 2.
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Question 9
f(x) = x³ − 4x² − 6x − 4. Find f″(−1).
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Question 10
Find d²y/dx² when y = −x⁴ + 3x³ + 3x² + 2x − 2.
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Question 11
f(x) = −2x³ − 3x² − 2x + 2. Find f″(−2).
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Question 12
Find d²y/dx² when y = −3x⁴ + 3x³ − 9x² − 8x + 1.
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Question 13
f(x) = −2x³ + 2x² − 8x + 4. Find f″(−1).
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Question 14
Find d²y/dx² when y = −3x⁴ + 5x³ + 3x² − 9x + 5.
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Question 15
f(x) = 2x³ − x² + 3x − 2. Find f″(3).
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Question 16
Find d²y/dx² when y = 3x⁴ + x³ − x² + 6.
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