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12TH•Mathematics•Further Differentiation•2.1 Derivatives of Inverse Trigonometric Functions

Introduction

Formulas and derivations for derivatives of arcsin, arccos, arctan, arccot, arcsec, and arccsc.

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Introduction

Inverse trigonometric functions reverse the action of restricted trigonometric functions. By applying implicit differentiation to the relation x=sin⁡yx = \sin y, we establish the standard derivative formulas for all six inverse trigonometric functions.

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2.2 Differentiation of Exponential and Logarithmic Functions