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 )
www.mathsisfun.com/algebra/line-equation-point-slope.html
www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/average-rate-of-change-example-3
www.purplemath.com/modules/fcnnot2.htm
www.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-1/xa350bf684c056c5c:rational-exponents/v/basic-fractional-exponents
www.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-1/xa350bf684c056c5c:properties-of-exponents/v/simplifying-exponent-expression-with-division
www.khanacademy.org/math/get-ready-for-ap-calc/xa350bf684c056c5c:get-ready-for-differentiation-2/xa350bf684c056c5c:composing-functions/v/function-composition
www.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-circle
www.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
