Lemma
EasyDifferentiation rules
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.3 Inverse Functions and Their Derivatives, #15 · Calculus · Differentiation rules

Suppose … and … and

Suppose and and . How do you know that there is no function ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.3 Inverse Functions and Their Derivatives, #15

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