Basic Calculus Notes (PDF)
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These notes provide a review of the definition of a derivative, explaining its relationship to the tangent line slope and its connection to the concepts of differentiability and continuity. The material touches on how derivatives describe the rate of change of a function and its graphical properties. Examples of the application and use of the derivative are included.
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Applying the Definition of the Derivative and Relating it to the Slope of the Tangent Line "What do you think a derivative tells us about a graph?" Definition of the Derivative Relating the Derivative to the Slope of the Tangent Line Write a b...
Applying the Definition of the Derivative and Relating it to the Slope of the Tangent Line "What do you think a derivative tells us about a graph?" Definition of the Derivative Relating the Derivative to the Slope of the Tangent Line Write a brief explanation of how the derivative relates to the tangent line slope in their own words. Differentiability and Continuity: Understanding Their Relationship "If a function is differentiable at a point, do you think it must be continuous there? Why or why not?" Exploring the Relationship! Applying Differentiation Rules to Compute Derivatives of Algebraic, Exponential, Logarithmic, Trigonometric, and Inverse Trigonometric Functions EXAMPLES Extreme Value Theorem, Optimization, Chain Rule, and Implicit Differentiation
