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Applications of differentiation

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Basic derivatives
1Differentiate polynomialsOpen, set of 8LessonPractice
2Challenge enrichment: rational powers and derivative domainsOpen, set of 8LessonPractice
3Differentiate natural exponential functions and solve simple derivative conditionsOpen, set of 8LessonPractice
4Differentiate sine, cosine and tangent functions and solve simple derivative conditionsOpen, set of 8LessonPractice
Differentiation rules
5Differentiate a composite function by the chain ruleOpen, set of 8LessonPractice
6Differentiate a product or quotient of two functionsOpen, set of 8LessonPractice
7Evaluate and determine function rulesOpen, set of 8LessonPractice
8Find the maximal domain of an algebraic functionOpen, set of 8LessonPractice
9Expand and factor polynomial expressionsOpen, set of 8LessonPractice
10Simplify and combine algebraic fractionsOpen, set of 8LessonPractice
11Find the equation of a line from its graph or from its intercept and slopeOpen, set of 8LessonPractice
Tangents, normals and curve sketching
12Analyse polynomial curves, stationary points and extremaOpen, set of 8LessonPractice
13Use a derivative to analyse and recognise the graph of a functionOpen, set of 8LessonPractice
14Evaluate a polynomial or recover a coefficient parameterOpen, set of 8LessonPractice
15Move between roots, factors, polynomial rules and equationsOpen, set of 8LessonPractice
16Recognise and classify a polynomialOpen, set of 8LessonPractice
17Connect a factorised higher-degree rule and its graphOpen, set of 8LessonPractice
18Analyse a cubic graph or determine its ruleOpen, set of 8LessonPractice
19Work with sets and interval notationOpen, set of 8LessonPractice
20Find the maximal domain of an algebraic functionOpen, set of 8LessonPractice
21Find the equation of a line from its graph or from its intercept and slopeOpen, set of 8LessonPractice
22Form an equation of a parallel or perpendicular lineOpen, set of 8LessonPractice
Optimisation
23Solve a maximum or minimum problem by differentiationOpen, set of 8LessonPractice
24Set up and solve a practical linear equationOpen, set of 8LessonPractice
25Rearrange literal equations and recognise equivalent line formsOpen, set of 8LessonPractice
26Find the maximal domain of an algebraic functionOpen, set of 8LessonPractice
27Evaluate a polynomial or recover a coefficient parameterOpen, set of 8LessonPractice
28Move between roots, factors, polynomial rules and equationsOpen, set of 8LessonPractice
Rates of change
29Calculate and interpret average and instantaneous rates from a modelOpen, set of 8LessonPractice
30Volume of cones, pyramids and spheresOpen, set of 8LessonPractice
31Volume of prisms and cylindersOpen, set of 8LessonPractice
32Perimeter and area of standard shapesOpen, set of 8LessonPractice
33Similar figures and scale factorsOpen, set of 8LessonPractice
34Find a side of a right-angled triangleOpen, set of 8LessonPractice
Kinematics
35Analyse straight-line motion through displacement, velocity and accelerationOpen, set of 8LessonPractice
36Evaluate a polynomial or recover a coefficient parameterOpen, set of 8LessonPractice
Chapter 5Chapter 7