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DeepDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.4 Inverses of Trigonometric Functions, #44 · Calculus · Differentiation rules

Find the derivatives.

$z = sin (cos^{- 1} x) - cos (sin^{- 1} x)$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.4 Inverses of Trigonometric Functions, #44

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