© Annie Patton 2007 Paper 1 No 7 Next Slide. © Annie Patton Leaving Certificate 2007 Higher Level Paper 1 no 7(a) Start clicking when you want to see.

Slides:

Advertisements

Similar presentations

Unit 6 – Fundamentals of Calculus Section 6

Advertisements

© Annie Patton Differentiation by First Principles Next Slide.

Basic Skills in Higher Mathematics Robert Glen Adviser in Mathematics Mathematics 1(H) Outcome 3.

Notes Over 10.3 r is the radius radius is 4 units

C1: Tangents and Normals

Equation of a Tangent Line

Equations of Tangent Lines

Introduction to Differentiation Motion Graphs. Travel Graph Describe what is happening at each stage of this travel graph

Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x

Calculus 2413 Ch 3 Section 1 Slope, Tangent Lines, and Derivatives.

Derivatives - Equation of the Tangent Line Now that we can find the slope of the tangent line of a function at a given point, we need to find the equation.

Quadratic Theory Higher Maths. Quadratic Theory The quadratic graph Using the discriminant Quadratic theory examplesBasic skills questions Problem solving.

Parallel and Perpendicular Lines Practice

Question: Find the equation of a line that is parallel to the equation: 3x + 2y = 18.

Making an Equation from a Table (Option 2) By: Mrs. Waters.

Determine whether each curve below is the graph of a function of x. Select all answers that are graphs of functions of x:

Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.

Paper 1 Algebra Leaving Certificate Helpdesk 20 th September 2012.

Quadratic Theory Strategies Higher Maths Click to start.

© Annie Patton Differentiation of Inverse Trigonometric Function Next Slide.

Simplify It! Graphs of Linear Equations Literal Equations Equations with Fractions Solving Equations $500 $400 $300 $200 $100.

© Annie Patton Parametric Functions Next Slide. © Annie Patton Aim of Lesson To establish what is a set of Parametric Functions and how to differentiate.

Differentiation. f(x) = x 3 + 2x 2 – 3x + 5 f’(x) = 3x 2 + 4x - 3 f’(1) = 3 x x 1 – 3 = – 3 = 4 If f(x) = x 3 + 2x 2 –

Gradient of a Curve: this is given by the gradient of the tangent

© Annie Patton Implicit Functions Next Slide. © Annie Patton Aim of Lesson Next Slide To establish, what is an Implicit Function and how to differentiate.

Asymptotes Next slide © Annie Patton.

3.6 Solving Absolute Value Equations and Inequalities

© Annie Patton Newton-Raphson Method Next Slide. © Annie Patton Aim of lesson To learn how the Newton- Raphson method can be used for finding non integer.

ROSIMAH HJ. RASHID University Brunei Darussalam MAIN MENU Question Method 1 Method 2 PSR Paper.

© Annie Patton Differentiation of Products Next Slide.

Introduction - slide 3 Temasek Secondary School Preliminary Examination 1999 Paper 1 8, 11 Paper 2 5ai, 5bii, 6ci, 6ciii,7a Thanks for viewing our presentation!

Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.

TANGENT LINES Notes 2.4 – Rates of Change. I. Average Rate of Change A.) Def.- The average rate of change of f(x) on the interval [a, b] is.

1 Finding Equations For Lines A SLIDE SHOW This slide show can be used to practice finding the equation of a line when the graph line is given. Written.

Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.

Graphing Functions Mr.Kaslavage Grade 11 trig Mathematics.

You can type your own categories and points values in this game board. Type your questions and answers in the slides we’ve provided. When you’re in slide.

Trigonometric Functions

Warm Up Determine for y2 + xy + 3x = 9.

Exponential Function Next slide © Annie Patton.

Using The Discriminant

Click here for the answer. Click here for the answer.

Jeopardy Final Jeopardy Domain and Range End Behavior Transforms

Click here for the answer. Click here for the answer.

Graphs and the Derivative

Notes Over 10.3 r is the radius radius is 4 units

Click here for the answer. Click here for the answer.

GeoMesh Blockchain Networking - Slide Presentation

The Derivative and the Tangent Line Problems

Differentiate the function. {image}

The gradient of a tangent to a curve

MAT 171 Section 10.7 Review The following is a brief review of Section 10.7 for Test 2 that covers Chapters 2 & 3 and Section This does NOT cover.

2-4: Tangent Line Review &

Differential Calculus

2005 Paper 1 No 7 © Annie Patton Next Slide.

The graph of a function f(x) is given below

Graphs 10 y 5 x © Annie Patton Next Slide.

Trigonometric Functions

Differentiate. f (x) = x 3e x

Tangents and Differentiability

Second Derivatives © Annie Patton Next slide.

Graphs and the Derivative

Topic Past Papers –Functions

General Rule © Annie Patton Next Slide.

Quotient Next Slide © Annie Patton.

Miscellaneous Differential Problems

Solve using factoring or square root property.

If {image} choose the graph of f'(x).

Quadratic Curve – Significant Points – Higher – GCSE Questions

Presentation transcript:

© Annie Patton 2007 Paper 1 No 7 Next Slide

© Annie Patton Leaving Certificate 2007 Higher Level Paper 1 no 7(a) Start clicking when you want to see the answer. Next Slide

© Annie Patton Find the equation of the tangent to the curve 3x 2 +y 2 =28 at the point(2,-4) Leaving Certificate Higher No 7(b) (1) Paper Continued Start clicking when you want to see the answer.

© Annie Patton Find the equation of the tangent to the curve 3x 2 +y 2 =28 at the point (2,-4) continued Next Slide Leaving Certificate Higher No 7(b) (1) Paper continued Start clicking when you want to see the answer.

© Annie Patton Leaving Certificate Higher No 7(b) (ii) Paper Start clicking when you want to see the answer. Next Slide

© Annie Patton Continued Leaving Certificate Higher no 7(c) paper Start clicking when you want to see the answer.

© Annie Patton Note only 1 root, therefore only 1 turning point. Continued Leaving Certificate Higher no 7(c) paper Start clicking when you want to see the answer.

© Annie Patton Graph of f (x) Leaving Certificate Higher no 7(c) paper