Evaluate , where . Give your answer in exact…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Evaluate h(4)(0)h^{(4)}(0), where h(x)=x4cos⁡(πx)h(x)=x^{4}\cos(\pi x). Give your answer in exact form.

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