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 bySebastian Caldwell
Modified over 2 years ago
Warm up Problems 1.If, find f (x). 2.If, find f (x). 3.Given the graph of f (x), find all intervals where f (x) is increasing.
Interpreting the Derivative New Notation: If y = f (x), then
Ex. The cost C, in dollars, of building a new stage at McKinley High that has area A square feet is given by C = f (A). What are the units of f (A)?
Ex. The cost, in dollars, for the seven dwarves to extract T tons of ore from their mine is given by M = f (T). What does f (2000) = 100 mean?
Ex. Suppose P = f (t) is the population of Springfield, in millions, t years since Explain f (15) = -2.
8.2 Volume and Average Value. DEFINITION: Let f be a continuous function over a closed interval [a, b]. Its average value, y av, over [a, b] is given.
Holt Algebra Point-Slope Form Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. (–2, 8) and (4, 2) 3. (3,
Warm Up Determine the anti-derivative. Then differentiate your answer to check your work Evaluate the definite integral: 3.
Power Functions Def. A power function is of the form where k and p are constant. Exponential functions dominate power functions as x. Ex.
Warm up Problem If, find.. The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:
Section 2.6 Day 2 Inflection Points and the Second Derivative I can describe the graph of f (x) given f (x). I can analyze the graph of f (x) in order.
Parallel & Perpendicular Slopes II Unit 6. Warm Up Which of these lines are parallel? Why? Which are perpendicular? Why? a) y = 2x + 3 b) y = 2x + 3 c)
1.1 The Cartesian Plane Ex. 1 Shifting Points in the Plane Shift the triangle three units to the right and two units up. What are the three.
1. If f(x) =, then f (x) = 2. Advanced Placement Calculus Semester One ReviewName:___________________ Calculator Active Multiple Choice 3. If x 3 + 3xy.
Warm up Problems After correcting the homework, we will be taking Derivative Quiz #2.
Chapter 9: Simple Regression Continued Hypothesis Testing and Confidence Intervals.
Area Under a Curve (Linear). Find the area bounded by the x-axis, y = x and x =1. 1. Divide the x-axis from 0 to 1 into n equal parts. 2. Subdividing.
Warm Up A particle moves vertically(in inches)along the x-axis according to the position equation x(t) = t 4 – 18t 2 + 7t – 4, where t represents seconds.
3.1 Derivatives. Derivative A derivative of a function is the instantaneous rate of change of the function at any point in its domain. We say this is.
1 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Absolute-Value Equations and Inequalities Equations with Absolute Value Inequalities with Absolute.
Section 2.2 Average and Instantaneous Rate of Change The Derivative of a Function at a Point 3.1.
Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (–1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, –1) 4. (–3, 0)
Chapter Two Budgetary and Other Constraints on Choice.
Course: Alg. 2 & Trig. Aim: Equation and Graph of Circle Do Now: What is the locus of points 4 units from a given point? The locus is a circle whose center.
2.9 Derivative as a Function. From yesterday: the definition of a derivative: The derivative of a function f at a number a, denoted by is: if this limit.
Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs OBJECTIVES Find relative extrema of a continuous function using the First-Derivative.
Business Calculus Extrema. Extrema: Basic Facts Two facts about the graph of a function will help us in seeing where extrema may occur. 1.The intervals.
Higher Higher Unit 2 What is Integration The Process of Integration ( Type 1 ) Area between to curves ( Type.
We Calculus!!! 3.2 Rolle s Theorem and the Mean Value Theorem.
Warm up #9 ch 6: Solve for x 1 (x – 3)(x + 5) = 0 2 (2x – 4)x = 0 3 x 2 + 4x + 3 = 0 4 X 2 + 6x + 9 = 0 5 9x 2 – 16 = 0 x = 3 or -5 x = 0 or 2 x = -1 or.
AX + BY = C FORM: X- AND Y- INTERCEPTS Lesson 5-7.
Computations of the Derivative: The Power Rule Sir Isaac Newton ( ) Gottfried Leibniz ( )
Please correct your homework as efficiently as possible so that we have plenty of time to get through the lesson.
3.5 Continuity & End Behavior. Discontinuous – you cannot trace the graph of the function without lifting your pencil. (step and piecewise functions)
© 2016 SlidePlayer.com Inc. All rights reserved.