Differentiation Fundamentals

Definition of the derivative, basic rules, chain rule, and implicit differentiation

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Topics Covered

• Definition of the Derivative — Derivative as a limit, differentiability, graphical interpretation, and tangent lines
• Basic Differentiation Rules — Power rule, product rule, quotient rule, trig derivatives, and higher-order derivatives
• Chain Rule — Chain rule, implicit differentiation, and related rates
• Inverse Functions & Derivatives — Derivatives of inverse functions, inverse trig derivatives, and logarithmic differentiation

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