We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byEzekiel Gatwood
Modified over 2 years ago
© Annie Patton Differentiation by First Principles Next Slide
© Annie Patton Aim of Lesson To learn, what is meant by differentiation by First Principles and to see how to do this in five steps. Next Slide
© Annie Patton Step 1: Given f(x) Step 2: Find f(x+h) Step 3: Find f(x+h)-f(x) Step 4: Find Step 5: Find 5 steps to Differentiate by first principles Next Slide
© Annie Patton Find from first principles the derivative of x 2 with respect to x. Step 1: f(x)=x 2 Step 2: f(x+h)=(x+h) 2 = x 2 +2xh+h 2 Step 3: f(x+h) - f(x)= x 2 +2xh+h 2 -x 2 Step 4: Step 5 Next Slide Leaving Certificate 2005 Higher Level Paper 1 no 7(a) Start clicking when you want to see the answer.
© Annie Patton Start clicking when you want to see the answer. Next Slide
© Annie Patton Differentiate with respect to x from first principles. Next Slide Leaving Certificate 2007 Higher Level Paper 1 no 6(b)(i) Start clicking when you want to see the answer.
© Annie Patton Leaving Certificate 2007 Higher Level Paper 1 no 6(b)(i) Start clicking when you want to see the answer. Next Slide
© Annie Patton Next Slide Leaving Certificate 2001 Higher Level Paper 1 no 6(b)(i) Start clicking when you want to see the answer.
© Annie Patton Next Slide
© Annie Patton Next Slide
© Annie Patton Differentiate, from first principles, cos x with respect to x. Next Slide Leaving Certificate 2004 Higher Level Paper 1 no 6(b)(ii) Start clicking when you want to see the answer.
© Annie Patton Find from first principles the derivative of sinx with respect to x. Next Slide Leaving Certificate 1999 Higher Level Paper 1 no 6(b) Start clicking when you want to see the answer.
© Annie Patton 5 steps to Differentiate by first principles Next Slide Step 1: Given f(x) Step 2: Find f(x+h) Step 3: Find f(x+h)-f(x) Step 4: Find Step 5: Find
© Annie Patton Proof of Product Rule by First Principles Next Slide Leaving Certificate 2000 Higher Level Paper 1 no 6(b)(i)
© Annie Patton Homework
© Annie Patton Differentiation of Inverse Trigonometric Function Next Slide.
© Annie Patton Differentiation of Products Next Slide.
© 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.
© Annie Patton Parametric Functions Next Slide. © Annie Patton Aim of Lesson To establish what is a set of Parametric Functions and how to differentiate.
© Annie Patton Implicit Functions Next Slide. © Annie Patton Aim of Lesson Next Slide To establish, what is an Implicit Function and how to differentiate.
© 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.
© Annie Patton Asymptotes Next slide. © Annie Patton Aim of Lesson Next slide To introduce what an asymptote is, the difference in a horizontal and vertical.
Logarithmic Functions. Examples Properties Examples.
Source: Financial Times of London Global Banks 1999 – 2009 “Changing of the Guard”
Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.
Name ____________________ Date ___________ Period ____.
Lesson 5-3b Fundamental Theorem of Calculus. Quiz Homework Problem: ( 3e x + 7sec 2 x) dx Reading questions: Fill in the squares below f(x) dx = F(█)
Lesson 17 Annie’s Gifts Spelling Words Practice Directions: Click the mouse only once to move to the next slide. Read the spelling word on the slide,
Least Common Multiple Lesson 3-6. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,
Geometry Warm ups Summarize the five methods used in yesterday’s lesson to prove that two lines are parallel
Least Common Multiple next © Math As A Second Language All Rights Reserved Using Prime Factors.
The Derivative. Definition Example (1) Find the derivative of f(x) = 4 at any point x.
Check Your Homework Answers with a Partner & Around the Room… Unit Circle Quiz Day!
BUCKET-BALL 2.1 – 2.3 Review. 1.You need a piece of paper and a pencil. 2.Write your TEAM NUMBER, your NAME, and your LETTER(A-D) on the top of your paper.
Programmes of Work Revision lesson 5 Tuesday 29 th March.
MATHEMATICS Ordering Numbers. The aim of this powerpoint is to teach you techniques for putting numbers in order as well as comparing numbers. EITHER.
Derivatives Using the Limit Definition At the end of this lesson you should be able to –use the limit definition to find the derivative of a function.
© Annie Patton Expenditure Money arrives without instructions. (Eddie Hobbs Short Hands, Long Pockets Page 9) So we have a choice, what to do with our.
Presenter Name(s) Issue date National Student.
MATHEMATICS Dividing with Fractions. Lesson Objectives The aim of this powerpoint is to help you… to divide fractions by whole numbers to divide whole.
ROSIMAH HJ. RASHID University Brunei Darussalam MAIN MENU Question Method 1 Method 2 PSR Paper.
© Annie Patton Insurance Part 1 Next Slide. © Annie Patton Aim of Lesson To introduced to the concept of insurance, associated words, insurable and non.
Number your paper from 1 through 25.. Multiplication Facts Ready Set Begin.
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.
Some needed trig identities: Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?
Do now as a warm-up: Place an M&M in your mouth, but do NOT bite it. How is an M&M like a composite function? Write your answer on the index card. You.
Differentiate:What rule are you using?. Aims: To learn results of trig differentials for cos x, sin x & tan x. To be able to solve trig differentials.
Homework questions? 2-5: Implicit Differentiation ©2002 Roy L. Gover (www.mrgover.com) Objectives: Define implicit and explicit functions Learn.
基 督 再 來 （一）. 經文： 1 你們心裡不要憂愁；你們信神，也當信我。 2 在我父的家裡有許多住處；若是沒有，我就早 已告訴你們了。我去原是為你們預備地去 。 3 我 若去為你們預備了地方，就必再來接你們到我那 裡去，我在 那裡，叫你們也在那裡， ] ( 約 14 ： 1-3)
Derivatives of Exponential and Logarithmic Functions Notes 3.9.
MATHEMATICS Algebraic Manipulation – Collecting like terms.
Lesson: Cells. Science Differentiation in action All living things are made up of cells. Your body has about 100 million million cells.
JEOPARDY Click here and type Category 1 Click here and type Category 2 Click here and type Category 2 Click here and type Category 3 Click here and type.
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
GOAL: USE DEFINITION OF DERIVATIVE TO FIND SLOPE, RATE OF CHANGE, INSTANTANEOUS VELOCITY AT A POINT. 3.1 Definition of Derivative.
9/12/2015 HL Math - Santowski 1 Lesson 24 – Double Angle & Half Angle Identities HL Math – Santowski.
The Product Rule. Do Now Find the derivative of f(x) = x(x 2 + 2x – 1). What is the derivative of sinx? of cosx?
Multiplication Facts Step by Step © Math As A Second Language All Rights Reserved next.
4.3 Matrix of Linear Transformations y RS T R ′S ′ T ′ x.
The Inverse Cosine Function Lesson 5.3. Reminder… y = cos x.
Toulouse, May 2011, Slide 1 20 x 20. Toulouse, May 2011, Slide 2 20 x 20.
The Quotient Rule The following are examples of quotients: (a) (b) (c) (d) (c) can be divided out to form a simple function as there is a single polynomial.
Multi-Digit Addition & Subtraction 1.Click to view the problem. 2.Write the problem on a piece of paper. 3.Solve the problem. 4.Click to check your answer.
AP Calculus BC Tuesday, 22 September 2015 OBJECTIVE TSW apply the Chain Rule to differentiate functions. ASSIGNMENT DUE TOMORROW/THURSDAY –Sec. 3.4: pp.
© 2017 SlidePlayer.com Inc. All rights reserved.