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Higher-Order Derivative of a Product Function

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Let ff be a function defined by f(x)=x3sin⁡(x)f(x) = x^3 \sin(x). If f′′(π)=−π3f''(\pi) = -\pi^3, what is the value of f(4)(π)f^{(4)}(\pi)?

A

−24+12π2-24 + 12\pi^2

B

−π3-π^{3}

C

3π3\pi

D

π3π^{3}

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