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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-1/3/a/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2017 / Paper 1 / 3 / a / Solution by

Codex  0 2026-10-18

Rewrite the exponential function as

2^{x} = e^{x l n 2}

. The chain rule gives

\frac{d y}{d x} = 2^{x} ln 2.

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