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Derivatives of Exponential and Logarithmic Functions

★★★☆☆High School

📖Definition

Derivative formulas for exponential and logarithmic functions.

(d)/(dx)(e^x) = e^x

Derivative of natural exponential (itself)

(d)/(dx)(a^x) = a^x ln a

Derivative of general exponential

(d)/(dx)(ln x) = (1)/(x)

Derivative of natural log

(d)/(dx)(logₐ x) = (1)/(x ln a)

Derivative of general log

예제 1★★☆☆☆

Find the derivative of f(x) = e^(2x).

예제 2★★★☆☆

Find the derivative of f(x) = ln(x² + 1).

#analysis#calculus#differentiation#exponential