## Explorations

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

## Explorations (a)

f(x)=x \cdot e^{x}

(b)

g(x)=\frac{e^{-x}}{x}

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Exponential and logarithmic functions
Continuity and Differentiability

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