A function satisfies

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A function gg satisfies g′(x)=ex−kg'(x)=e^{x}-k. Find the value of kk that guarantees x=⟨ln⁡2⟩x=\bigl\langle \ln 2 \bigr\rangle is a relative minimum of gg.

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