For the curve defined implicitly by

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

Problem

x^{y}=5

, determine

\dfrac{dy}{dx}

at the point

(5,1)

Related theory

Advanced Differentiation
Logarithmic Differentiation
Implicit and Parametric Differentiation
Logarithmic differentiation and differentiation of one function w.r.t. another
Continuity and Differentiability

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