Interactivate: Standard Expectation

2 items total

Organization: North Carolina Standard Course of Study
Grade Band: Calculus (AP)
Standard Goal: The learner will use derivatives to solve problems.

Find the slope of a curve at a point. Examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents.
Find the tangent line to a curve at a point and local linear approximation.
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Find the slope of a curve at a point. Examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents.

Slope Slider

Activity: Manipulate a linear function of the form f(x)=mx+b using slider bars. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Find the tangent line to a curve at a point and local linear approximation.

Derivate

Activity: Begin understanding the meaning of the derivative at a point on a function. View the graph and the equation of the line tangent to any function at any point on the function.