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Average vs. instantaneous rate of change: Derivatives: definition and basic rulesDerivative definition: Derivatives: definition and basic rulesSecant lines: Derivatives: definition and basic rulesEstimating derivatives: Derivatives: definition and basic rulesDifferentiability: Derivatives: definition and basic rulesPower rule: Derivatives: definition and basic rules
Derivative rules: constant, sum, difference, and constant multiple: Derivatives: definition and basic rulesCombining the power rule with other derivative rules: Derivatives: definition and basic rulesDerivatives of cos(x), sin(x), 𝑒ˣ, and ln(x): Derivatives: definition and basic rulesProduct rule: Derivatives: definition and basic rulesQuotient rule: Derivatives: definition and basic rulesDerivatives of tan(x), cot(x), sec(x), and csc(x): Derivatives: definition and basic rulesProof videos: Derivatives: definition and basic rules
Chain rule: Derivatives: chain rule and other advanced topicsMore chain rule practice: Derivatives: chain rule and other advanced topicsΕμμεση διαφοροποίηση: Derivatives: chain rule and other advanced topicsImplicit differentiation (advanced examples): Derivatives: chain rule and other advanced topicsDifferentiating inverse functions: Derivatives: chain rule and other advanced topicsDerivatives of inverse trigonometric functions: Derivatives: chain rule and other advanced topics
Strategy in differentiating functions: Derivatives: chain rule and other advanced topicsDifferentiation using multiple rules: Derivatives: chain rule and other advanced topicsΔεύτερη παράγωγος: Derivatives: chain rule and other advanced topicsDisguised derivatives: Derivatives: chain rule and other advanced topicsLogarithmic differentiation: Derivatives: chain rule and other advanced topicsProof videos: Derivatives: chain rule and other advanced topics
Mean value theorem: Analyzing functions Extreme value theorem and critical points: Analyzing functions Intervals on which a function is increasing or decreasing: Analyzing functions Relative (local) extrema: Analyzing functions Absolute (global) extrema: Analyzing functions Concavity and inflection points intro: Analyzing functions
Analyzing concavity and inflection points: Analyzing functions Second derivative test: Analyzing functions Sketching curves: Analyzing functions Connecting f, f', and f'': Analyzing functions Solving optimization problems: Analyzing functions Analyzing implicit relations: Analyzing functions Calculator active practice: Analyzing functions
Parametric equations intro: Parametric equations, polar coordinates, and vector-valued functionsSecond derivatives of parametric equations: Parametric equations, polar coordinates, and vector-valued functionsVector-valued functions: Parametric equations, polar coordinates, and vector-valued functions
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