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Chapter 2 Derivatives (DF)
Learning Outcomes
How can we measure the instantaneous rate of change of a function?
By the end of this chapter, you should be able to...
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Estimate the value of a derivative using difference quotients, and draw corresponding secant and tangent lines on the graph of a function.
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Find derivatives using the definition of derivative as a limit.
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Compute basic derivatives using algebraic rules.
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Compute derivatives using the Product and Quotient Rules.
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Compute derivatives using the Chain Rule.
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Compute derivatives using a combination of algebraic derivative rules.
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Compute derivatives of implicitly-defined functions.
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Compute derivatives of inverse functions.
Readiness Assurance.
Before beginning this chapter, you should be able to...
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Write equations of lines using slope-intercept and/or point-slope form (
Math is Fun)
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Find the average rate of change of a function over some interval (
Khan Academy)
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Evaluate functions at variable expressions (
Purple Math)
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