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Question 6.9.1: Find f'(x) and f''(x) when f (x) = 2x^5 − 3x³ + 2x....

\mathrm{Find}  f^{\prime}(x)\;\mathrm{and}f^{\prime\prime}(x)\;\mathrm{when}f(x)=2x^{5}-3x^{3}+2x.
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The rules for differentiating polynomials imply that f^{\prime}(x)=10x^{4}-9x^{2}+2. Then we differentiate each side of this equality to get f^{\prime\prime}({{x}})=40x^{3}-18x.

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