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Questions and Answers
What is the geometric interpretation of the derivative of a function at a point?
What is the geometric interpretation of the derivative of a function at a point?
- The area under the curve at that point
- The slope of the tangent line at that point (correct)
- The x-intercept of the tangent line at that point
- The rate of change of the function at that point
Which rule of differentiation is used to find the derivative of a composite function?
Which rule of differentiation is used to find the derivative of a composite function?
- Power rule
- Product rule
- Chain rule (correct)
- Quotient rule
What is the purpose of implicit differentiation?
What is the purpose of implicit differentiation?
- To find the slope of a tangent line
- To find the derivative of a function implicitly defined (correct)
- To find the area under a curve
- To find the derivative of a function explicitly
What is the relationship between the derivative of a function and the slope of the tangent line to the graph?
What is the relationship between the derivative of a function and the slope of the tangent line to the graph?
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Which of the following is NOT a differentiation rule?
Which of the following is NOT a differentiation rule?
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