Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.1 An Overview, #26 · Calculus · Differentiation rules

Find a base … for which

This problem is about the derivative $d y / d x = c b^{x}$ .

Find a base $b$ for which $(b^{h} - 1) / h \approx 1$ . Use $h = 1/4$ by hand or $h = 1/10$ and $1/100$ by calculator.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.1 An Overview, #26

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