— Lemma

MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.3 Inverse Functions and Their Derivatives, #25 · Calculus · Differentiation rules

Find $d y / d x$ in terms of $x$ and $d x / d y$ in terms of $y$ .

$y = \frac{x}{x - 1}$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.3 Inverse Functions and Their Derivatives, #25

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