Starting from the identity

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

\tan x = \dfrac{\sin x}{\cos x}

, derive an explicit formula for

\dfrac{d}{dx}(\tan x)

and write your simplified final result.

Related theory

Differentiation Rules
Derivatives of standard functions via chain rule

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