Define , where is differentiable. If for all real , determine in terms of…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Define h(x)=exk(x)h(x)=e^{x}k(x), where kk is differentiable. If h(x)=ex(x2+4)h(x)=e^{x}(x^{2}+4) for all real xx, determine k′(x)k'(x) in terms of xx.

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