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Lecture
Power Functions: Definition
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Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Exponential Functions: Important Examples
Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.
Convexity and Concavity
Covers the concepts of convexity and concavity in functions with examples.
Derivatives of Elementary Functions
Explores the derivation of elementary and trigonometric functions, including sine, cosine, and tangent.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Logarithmic Functions: Properties and Applications
Explores the properties and applications of natural logarithmic functions, including area invariance and harmonic series divergence.
Integral Calculation
Covers the calculation of a specific integral using properties of logarithmic functions.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.