Questions
Question 1
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Find \(f''(x)\) for \(f(x)=x^3\).
Question 2
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Find \(f''(x)\) for \(f(x)=4x^4-2x^2+5\).
Question 3
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Find \(f^{(3)}(x)\) for \(f(x)=x^5\).
Question 4
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If \(s(t)=t^3-6t^2+4t\), find the acceleration \(s''(t)\).
Question 5
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Find \(f''(1)\) for \(f(x)=x^4-3x\).
Question 6
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Find \(f''(x)\) for \(f(x)=\sin x\).
Question 7
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Find \(f^{(4)}(x)\) for \(f(x)=e^x\).
Question 8
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Find \(f''(x)\) for \(f(x)=(x^2+1)^3\).
Question 9
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For \(f(x)=x^4-4x^3\), use \(f''(x)\) to determine where the graph is concave up.
Question 10
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Find a formula for \(f^{(n)}(x)\) when \(f(x)=x^5\) for \(n=1,2,3,4,5\).