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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Score/ 16
Question 1
Find d²y/dx² when y = −x⁴ + x³ + 3x − 8.
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Question 2
f(x) = x³ + 3x² + 3x + 6. Find f″(−2).
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Question 3
Find d²y/dx² when y = 2x⁴ − 5x³ − 7x² − 9x − 3.
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Question 4
f(x) = −x³ − 4x² − 4x − 4. Find f″(2).
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Question 5
Find d²y/dx² when y = −3x⁴ − 3x³ − 9x² − 4.
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Question 6
f(x) = −2x³ + 5x² + 6. Find f″(3).
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Question 7
Find d²y/dx² when y = −2x⁴ − 4x³ − x² − x − 3.
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Question 8
f(x) = x³ − x + 3. Find f″(−1).
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Question 9
Find d²y/dx² when y = x⁴ − 4x³ + 3x² + 5x + 5.
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Question 10
f(x) = x³ + x² + 5x + 5. Find f″(1).
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Question 11
Find d²y/dx² when y = −x⁴ + 5x³ + 5x² + 3.
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Question 12
f(x) = 2x³ − 3x² + 2x − 4. Find f″(3).
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Question 13
Find d²y/dx² when y = −3x⁴ − x³ − 5x² − 3x − 8.
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Question 14
f(x) = −2x³ − 4x + 4. Find f″(1).
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Question 15
Find d²y/dx² when y = −3x⁴ − 3x³ + 4x² + x − 1.
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Question 16
f(x) = −3x³ − 5x² + 4x + 7. Find f″(−3).
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