The variables and satisfy

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

The variables

x

and

y

satisfy

\sec y+\cot y=x

. Evaluate

\dfrac{dy}{dx}

at the point where

y=\dfrac{\pi}{4}

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of implicit functions
Continuity and Differentiability

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