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 Faye
Modified about 1 year ago
Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines
Find any relative extrema for of
Find the absolute extrema for on the interval [0, 4]
Find the slope of the inverse f –1 (x) when f(6)=4
Find in terms of x
Find equation of the line tangent to f –1 (x) if
Find the slope of the line tangent to the curve
Find the equation of the line normal to the curve that passes through the origin
Let f(x) be continuous, differentiable, and one-to-one. The table below gives the value of f(x) and f’(x). If g(x) = f -1 (x), then find g’(10)
Police Investigating Magical Top Hat Evidence Appears to Have Melted
Boy's Christmas Wish Goes Viral Video of Whistle Attempt gets 2M Hits on Youtube
Elderly Woman Dies in Holiday Accident Dancer Cited with Failure to Yield
Woman Returns 73 Gifts from Stalker Says She's Keeping the Rings
Horrible Deformity Mars Flying Ruminant Parents file Complaint: Cite Ongoing Bullying
Identify the interval(s) when the following function is concave down
3.9: Derivatives of Exponential and Logarithmic Functions.
Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.
3.7 – Implicit Differentiation An Implicit function is one where the variable “y” can not be easily solved for in terms of only “x”. Examples:
Calculus and Analytical Geometry Lecture # 10 MTH 104.
Section 2.4 Rates of Change and Tangent Lines Calculus.
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.
Section 3.9 DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Unit 4 Applications of Derivatives. Slide Critical Number Test Types of Maximums and Minimums Absolute/Global Extreme Values Maximum – Minimum –
DIFFERENTIATION & INTEGRATION CHAPTER 4. Differentiation is the process of finding the derivative of a function. Derivative of INTRODUCTION TO DIFFERENTIATION.
Differentiating the Inverse. Objectives Students will be able to Calculate the inverse of a function. Determine if a function has an inverse. Differentiate.
Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions.
Derivatives of Exponential and Inverse Trig Functions Objective: To derive and use formulas for exponential and Inverse Trig Functions.
Suppose that functions f and g and their derivatives have the following values at x = 2 and x = –4 1/3–3 5 Evaluate the derivatives with.
AP Calculus Online Summer School More Functions and Some Factoring Unit 4 Inverses Solving Fractional Equations Solving Absolute Value Equations Solving.
Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.
Chapter 3 Application of Derivatives 3.1 Extreme Values of Functions Absolute maxima or minima are also referred to as global maxima or minima.
In this section, we will investigate a new technique for finding derivatives of curves that are not necessarily functions.
Group Round 1 Find the equation of the line that has... A slope 3 and passes through (-2, 7) B slope 2 and passes through (5, -3) C slope 4 and passes.
Double Jeopardy $200 Miscellaneous Facts Solving Logs with Properties Solving Log Equations Solving Exponential Equations Graphs of Logs $400 $600 $800.
Unit 6 – Fundamentals of Calculus Section 6.4 – The Slope of a Curve No Calculator.
Logarithmic, Exponential, and Other Transcendental Functions 5 Copyright © Cengage Learning. All rights reserved.
This theorem allows calculations of area using anti-derivatives. What is The Fundamental Theorem of Calculus?
Warm Up 10/3/13 1) The graph of the derivative of f, f ’, is given. Which of the following statements is true about f? (A) f is decreasing for -1 < x <
Derivatives of Logarithmic Functions Objective: Obtain derivative formulas for logs.
CHAPTER Continuity The tangent line at (a, f(a)) is used as an approximation to the curve y = f(x) when x is near a. An equation of this tangent.
Index FAQ The derivative as the slope of the tangent line (at a point)
Unit 9 Exponential Functions, Differential Equations and L’Hopital’s Rule.
Calculus 1 Rolle’s Theroem And the Mean Value Theorem for Derivatives Mrs. Kessler 3.2.
Derivatives Test Review Calculus. What is the limit equation used to calculate the derivative of a function?
Exponential and Logarithmic Functions 5 Exponential Functions Logarithmic Functions Differentiation of Exponential Functions Differentiation of Logarithmic.
F(x) = tan(x) Interesting fact: The tangent function is a ratio of the sine and cosine functions. f(x) = Directions: Cut out the 15 parent function cards.
Concavity of a graph A function is concave upward on an interval (a, b) if the graph of the function lies above its tangent lines at each point of (a,
The Tangent Problem Find an equation of the tangent line to the curve at the point (2,3)
Chapter 4 Techniques of Differentiation Sections 4.1, 4.2, and 4.3.
Example 4 Equation of a Tangent Line Chapter 8.5 Calculus can be used to find the slope of the tangent to a curve, and then we can write the equation of.
Concavity & the second derivative test (3.4) December 4th, 2012.
Exponential and Logarithmic Functions Logarithmic Functions EXPONENTIAL AND LOGARITHMIC FUNCTIONS Objectives Graph logarithmic functions. Evaluate.
2.4 RATES OF CHANGE & TANGENT LINES. Average Rate of Change The average rate of change of a quantity over a period of time is the slope on that interval.
B.1.7 – Derivatives of Logarithmic Functions Calculus - Santowski 10/8/2015 Calculus - Santowski 1.
Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.
Calculus Critical Points Jeopardy Graphic Extrema DerivativesCritical PointsIncreasing/ Decreasing Maximum/ Minimum
Derivative Review Part 1 3.3,3.5,3.6,3.8,3.9. Find the derivative of the function p. 181 #1.
4.3 How Derivatives Affect the Shape of a Graph. Facts If f ’( x ) > 0 on an interval ( a,b ), then f (x) is increasing on ( a,b ). If f ’( x ) < 0 on.
Differentiation The original function is the y- function – use it to find y values when you are given x Differentiate to find the derivative function or.
Lesson 12-2 Exponential & Logarithmic Functions Objectives Students will: Graph exponential functions Graph logarithmic functions.
1 Implicit Differentiation. 2 Introduction Consider an equation involving both x and y: This equation implicitly defines a function in x It could be defined.
© 2017 SlidePlayer.com Inc. All rights reserved.