Search results for X2 T04 01 curve sketching - basic features/ calculus

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1. (C) Transformations 2. (C) Transformations Given that the graphy=f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations.…

1. (J) Other Graphs e.g. (i) (2003)The diagram shows the graph of y = f(x)Draw separate sketches of the graphs of the following; 2. 1 i  y f x 3. 1 i …

1. (A) Features You ShouldNotice About A Graph 2. (A) Features You ShouldNotice About A Graph (1) Basic Curves 3. (A) Features You ShouldNotice About A Graph (1) Basic Curves…

1. (H)Graphs of the Form y   f  x nwhere n>1 and an integer The graph of y   f  x  can be sketched by first drawing y  f  x n and…

(D) Addition & Subtraction of Ordinates (D) Addition & Subtraction of Ordinates y = f(x) + g(x) can be graphed by first graphing y = f(x) and y = g(x) separately…

Trig Substitutions Trig Substitutions 22 xa  tan use ax  Trig Substitutions 22 xa  tan use ax  22 xa   cosor sin use axax  Trig Substitutions…

1. Integration By Partial Fractions AxTo find; dx P x  2. Integration By Partial Fractions AxTo find; dx P x 1 If degA x   degP…

1. Integration By Parts 2. Integration By PartsWhen an integral is a product of two functions and neither is thederivative of the other, we integrate by parts. 3. Integration…

1. Integration By Partial Fractions AxTo find; dx P x  2. Integration By Partial Fractions AxTo find; dx P x 1 If degA x   degP…

1. Trig Integrals 2. Trig Integrals(1) Standard Integrals1  sin axdx   a cos ax  c 3. Trig Integrals(1) Standard Integrals1…

1. Integrating Quadratic Denominators1 2 dx 2  dxa xa  x a…

1. Integration By Parts 2. Integration By PartsWhen an integral is a product of two functions and neither is thederivative of the other, we integrate by parts. 3. Integration…

Integration By Partial Fractions     dxxP xA find; To Integration By Partial Fractions     dxxP xA find; To       divisionaperform,degdegIf1…

Integrating Quadratic Denominators                    axax dx ax dx xaxa dx xa dx 22 22 2 1 Integrating…

Reduction Formula Reduction Formula Reduction (or recurrence) formulae expresses a given integral as the sum of a function and a known integral. Integration by parts often…

1. Reduction Formula 2. Reduction FormulaReduction (or recurrence) formulae expresses a given integral asthe sum of a function and a known integral.Integration by parts often…

1. Integration By Parts 2. Integration By PartsWhen an integral is a product of two functions and neither is thederivative of the other, we integrate by parts. 3. Integration…

1. Odd & Even Functions(1) Even f  x   f  x  2. Odd & Even Functions(1) Evenf …

X2 Graph Sketching 1 Review of Basic Transformations Translations: A graph may be translated by shifting it horizontally, vertically, or in both directions. When x is replaced…

CALCULUS Curve Sketching (V) 1. Consider the following polynomial function:f(x) = (x + 1)(x− 4) x Sketch the grapf of the function f(x) . 2. Consider the following polynomial…