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Search results for Grade 12 Calculus

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Antiderivatives Colour by Number Activity

Antiderivatives Colour by Number Activity
, Not Grade Specific,

Antiderivatives colour by number: students find the antiderivative of nine derivatives, match each answer to a colour and shade the numbered regions to reveal a picture.

Author Mrs. B Secondary Math

Rating

Tags Color By Number Worksheet, Color By Number Activity, Antiderivatives Lesson, Antiderivatives Worksheet, Derivatives, Calculus Activity, Homework

Combining Differentiation Rules

Combining Differentiation Rules
, Not Grade Specific,

Calculus PowerPoint on combining differentiation rules, with worked examples that pair the chain rule with the product rule and the chain rule with the quotient rule.

Author Maths Support Centre

Rating

Tags Calculus, Differentiation, Combining Rules, Complex Functions

Continuity

Continuity
, Not Grade Specific,

Calculus PowerPoint on continuity that defines a continuous function, sets out the three conditions for continuity at a point and uses graphs to show where functions are not continuous.

Author Maths Support Centre

Rating

Tags Continuity, Calculus, Functions, Interval, 11th Grade Calculus, 12th Grade Calculus

Continuity Theorems

Continuity Theorems
, Not Grade Specific,

Composite function limits and the Intermediate Value Theorem in a nine-slide PowerPoint, with two worked examples of evaluating a limit using the composite function theorem.

Author Maths Support Centre

Rating

Tags Calculus, Intermediate Value Theorem, Continuity Theorems

Derivative implicit functions

Derivative implicit functions
, Not Grade Specific,

Implicit differentiation PowerPoint lesson that contrasts explicit and implicit functions, sets out the steps, and works through examples such as x² + y² = 4 and x³ + y³ − 9xy = 0.

Author Maths Support Centre

Rating

Tags Calculus, Diffrentiation, Implicit Function

Derivatives of Inverse Trig Functions – PowerPoint

Derivatives of Inverse Trig Functions – PowerPoint
, Not Grade Specific,

An eighteen-slide calculus deck that recaps the differentiation rules and trig derivatives, states the inverse function theorem, derives the arcsine and arccosine results in full, lists all six inverse trig derivatives and closes with three worked examples.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Differentiation, Inverse Trigonometric Functions

Derivative of exponential and logarithmic functions

Derivative of exponential and logarithmic functions
, Not Grade Specific,

Exponential and logarithmic derivatives lesson in PowerPoint, deriving the rules for eˣ, aˣ, ln x and logₐ x before applying them to examples like e^(5x−4) and 4x − 5 log₉ x.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Differentiation, Logarithmic Functions , Exponential Functions

Differentiation: The product rule

Differentiation: The product rule
, Not Grade Specific,

Calculus PowerPoint on the product rule: an 11-slide presentation that derives the rule step by step and then applies it in worked examples.

Author Maths Support Centre

Rating

Tags Calculus, Differentiation, The Product Rule, Derivative Of The Product

Differentiation: The quotient rule

Differentiation: The quotient rule
, Not Grade Specific,

Calculus PowerPoint on the quotient rule, with a step-by-step derivation and worked examples of finding the derivative of one function divided by another.

Author Maths Support Centre

Rating

Tags Calculus, Differentiation, Quotient Rule, Find The Derivative, Differentiation Division Rule

Gradient of the Tangent

Gradient of the Tangent
, Not Grade Specific,

Calculus PowerPoint on the gradient of the tangent, moving from the slope of a secant line to the limit that gives the slope of a curve at a point, with four worked examples.

Author Maths Support Centre

Rating

Tags Calculus, Gradient Of Tangent, Slope Of A Curve

Higher order derivatives

Higher order derivatives
, Not Grade Specific,

Higher order derivatives PowerPoint showing how to find second, third and fourth derivatives, with prime and f^(n)(x) notation and the link between the second derivative and acceleration.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Second Derivatives, Third Derivatives, Higher Order Derivatives

Infinite Limits

Infinite Limits
, Not Grade Specific,

Calculus PowerPoint on infinite limits and vertical asymptotes, with worked examples that evaluate one-sided and two-sided limits using graphs and tables of values.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Precalculus

Infinite Limits Worksheet – Calculus Practice

Infinite Limits Worksheet – Calculus Practice
, Not Grade Specific,

Students evaluate one-sided and two-sided limits of rational expressions and identify vertical asymptotes, using answer pages for checking.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Pre-calculus, Inifinite Limits, Infinite Limits, Limit Problems Worksheet, Precalculus Limits Worksheet With Answers, Limit Worksheet

Introduction to Derivative

Introduction to Derivative
, Not Grade Specific,

PowerPoint lesson introducing the derivative through its limit definition, connecting it to tangent slope and instantaneous rate of change, with four fully worked examples of finding f'(x).

Author Maths Support Centre

Rating

Tags Calculus, Introduction To Derivative Function, Derivative Function

Introduction to the concept of limits

Introduction to the concept of limits
, Not Grade Specific,

Three worked examples walk through finding limits by direct substitution, factoring, and graphical confirmation, building from the definition of a limit through numerical, graphical, and analytical methods.

Author Maths Support Centre

Rating

Tags Limits, Calculus

Introduction to the concept of limits - Worksheet

Introduction to the concept of limits - Worksheet
, Not Grade Specific,

Eighteen rational-function limit problems require factoring, direct substitution, and recognizing infinite or nonexistent limits, with a fully worked answer key.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Worksheet, Introduction Worksheet

Limits at infinity - exponential functions

Limits at infinity - exponential functions
, Not Grade Specific,

A 13-slide calculus deck walks through evaluating limits at infinity for exponential functions, from basic e^x behaviour through seven fully worked limit problems using the factor-out-the-dominant-term technique.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Exponential Limits, Limits With Exponential Functions, Limit Of An Exponential

Limits at Infinity – Exponential Functions Worksheet

Limits at Infinity – Exponential Functions Worksheet
, Not Grade Specific,

Ten exponential-function problems ask students to evaluate the limit as x approaches negative and positive infinity for each function, with a fully worked answer key giving both results.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Precalculus , Exponential Functions, Limit Of An Exponential Function, Limit Of Exponential Function, Exponential Function Worksheets, Exponential Functions Worksheet, Exponential Function Worksheet, Limits Involving Exponential Functions

Limits at infinity - transcendental functions - Worksheet

Limits at infinity - transcendental functions - Worksheet
, Not Grade Specific,

Ten calculus problems ask students to evaluate limits at positive or negative infinity of logarithmic and inverse-tangent transcendental functions, with full worked answers on a second page.

Author Maths Support Centre

Rating

Tags Limits, Calculus, Precalculus, Transcendental Functions, Limits Of Trig Functions Approaching Infinity

PreCalculus Word Wall

PreCalculus Word Wall
, Not Grade Specific,

Overview pages map twelve major topic groups and numerous subtopics across the collection. Individual sheets use a repeated title, topic, subtopic, and optional numbering system so teachers can arrange the display and direct learners to a particular range. Some wide concepts span multiple sheets; incomplete borders show how adjacent pages connect. Visible examples combine concise definitions, symbolic notation, and graphs, including continuity and several forms of discontinuity.

Author Smith Math

Rating

Tags PreCalculus Word Wall, Math Vocabulary, Vocabulary Review, Exponentials, Math Word Wall, Precalc Word Wall, Precalc Posters, Math Posters, Math Graphics, Precalculus Graphics

Sequences & Series Graphic Organizer

Sequences & Series Graphic Organizer
, Not Grade Specific,

Arithmetic and geometric sequence and series formulas — recursive, explicit, and finite/infinite sum — are laid out side by side on a one-page completed reference chart.

Author Smith Math

Rating

Tags Algebra Graphic Organizer, Calculus Graphic Organizers, Sequences, Series, Arithmetic Functions, Geometric Functions, Formulas, Patterns

Types of discontinuities

Types of discontinuities
, Not Grade Specific,

Editable PowerPoint lesson on removable, infinite and jump discontinuities, with graphed definitions and worked examples that check f(a), evaluate one-sided limits and classify each break.

Author Maths Support Centre

Rating

Tags Calculus, Precalculus, Types Of Discontinuities