Calculate ( . dy dx |_ x= /4 ) when (y=x^ x .…

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

Problem

Calculate

\left.\dfrac{dy}{dx}\right|_{x=\pi/4}

when

y=x^{x}.

Related theory

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

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