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The Derivative flashcards
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- What does “Derivative Definition” mean?Derivative as a Limit
- A limit of secant slopes defining local change.
- What important condition applies to derivative definition?Derivative as a Limit
- Never substitute h=0 into the original quotient before simplifying.
- What does “Derivative of a Linear Rule” mean?Derivative as a Limit
- A constant local rate equal to a linear function’s slope.
- What important condition applies to derivative of a linear rule?Derivative as a Limit
- The derivative of a constant term is zero.
- What does “Tangent Slope” mean?Tangent Lines
- The slope of the local linear approximation to a differentiable graph.
- What important condition applies to tangent slope?Tangent Lines
- A tangent can intersect a curve again away from the tangency point.
- What does “Tangent-Line Equation” mean?Tangent Lines
- A line through a graph point with the derivative as its slope.
- What important condition applies to tangent-line equation?Tangent Lines
- Use the function value for the point and derivative for the slope.
- What does “Derivative Units and Notation” mean?Derivative Notation and Meaning
- A rate labeled according to the quantities being differentiated.
- What important condition applies to derivative units and notation?Derivative Notation and Meaning
- A quantity and its rate use different units.
- What does “Second Derivatives” mean?Derivative Notation and Meaning
- The local rate of change of a function’s first derivative.
- What important condition applies to second derivatives?Derivative Notation and Meaning
- Zero acceleration does not require zero velocity.