Exponential and Logarithmic Functions, Inverses, and Rates of Change

6 lessons

Goal

Analyze exponential and logarithmic functions, apply logarithmic laws to solve complex equations, and apply the derivative property of exponential functions.

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The Natural Exponential Function and Natural Logarithm

6 lessons

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Proving and Applying Exponential and Logarithmic InversesPremiumNot started yet
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Differentiating Exponential Functions e^(kx)Not started yet

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Standards Covered

OGM.13.EXP.1Open Global Math Standards 2026™ · Math · Level 13 / High School 4 (Age 17–18) · Grade 12
Analyze exponential and logarithmic functions $y = a^x$, $y = e^x$, $y = \log_a x$, and $y = \ln x$, establishing inverse relationships, applying the laws of logarithms to simplify expressions and solve equations $a^x = b$, and understanding the differential property $\frac{d}{dx}(e^{kx}) = ke^{kx}$.

Curriculum Framework

12th Grade · Math · Open Global Math

6 lessons

Exponential and Logarithmic Functions, Inverses, and Rates of Change

Analyze exponential and logarithmic functions, apply logarithmic laws to solve complex equations, and apply the derivative property of exponential functions.

12th Grade · Math · Open Global Math

6 lessons

Real-World Exponential Models and Data Linearization

Construct continuous exponential models across various scientific fields and linearize non-linear relationships using logarithmic transformations.

12th Grade · Math · Open Global Math

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