Chapter 2 Derivatives (DF)
Learning Outcomes
Need a question for this chapter
By the end of this chapter, you should be able to...
Estimate the value of a derivative using difference quotients, and draw corresponding secant and tangent lines on the graph of a function.
Find derivatives using the definition of derivative as a limit.
Compute basic derivatives using algebraic rules.
Compute derivatives using the Product and Quotient Rules.
Compute derivatives using the Chain Rule.
Compute derivatives using a combination of algebraic derivative rules.
Compute derivatives of implicitly-defined functions.
Compute derivatives of inverse functions.
Readiness Assurance.
Before beginning this chapter, you should be able to...
Write equations of lines using slope-intercept and/or point-slope form (Math is Fun 1 )
Find the average rate of change of a function over some interval (Khan Academy 2 )
Evaluate functions at variable expressions (Purple Math 3 )
Use the laws of exponents to rewrite a given expression (Khan Academy (1) 4 and Khan Academy (2) 5 )
Compose and decompose functions (Khan Academy 6 )
Recall special trig values on the unit circle (Khan Academy (1) 7 and Khan Academy (2) 8 )
www.mathsisfun.com/algebra/line-equation-point-slope.htmlwww.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/average-rate-of-change-example-3www.purplemath.com/modules/fcnnot2.htmwww.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-1/xa350bf684c056c5c:rational-exponents/v/basic-fractional-exponentswww.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-1/xa350bf684c056c5c:properties-of-exponents/v/simplifying-exponent-expression-with-divisionwww.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-2/xa350bf684c056c5c:composing-functions/v/function-compositionwww.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-limits-and-continuity/xa350bf684c056c5c:special-trig-values-in-q1/v/solving-triangle-unit-circlewww.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-limits-and-continuity/xa350bf684c056c5c:unit-circle-introduction/v/unit-circle-definition-of-trig-functions-1