Presentation is loading. Please wait.

Presentation is loading. Please wait.

Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5

Published byMatilda Thomas Modified over 7 years ago

Similar presentations

Presentation on theme: "Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5"— Presentation transcript:

1 Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5
March 5th, 2013

2 I. derivatives of inverse trigonometric functions
Thm. 5.16: Derivatives of inverse Trigonometric Functions: Let u be a differentiable function of x.

3 Ex. 1: Find the derivative of each function.
b.

4 Ex. 2: Find an equation of the tangent line to the graph of at the point

5 II. Integrals Involving Inverse Trigonometric Functions
Thm. 5.17: Integrals Involving Inverse Trigonometric Functions: Let u be a differentiable function of x, and let 1. 2. 3.

6 Ex. 3: Find each indefinite integral.
b.

7 Ex. 4: Evaluate the integral .

Download ppt "Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5"

Similar presentations

Equations of Tangent Lines

Equations of Tangent Lines
The derivative and the tangent line problem (2.1) October 8th, 2012.

The derivative and the tangent line problem (2.1) October 8th, 2012.
Point Value : 20 Time limit : 2 min #1 Find. #1 Point Value : 30 Time limit : 2.5 min #2 Find.

Point Value : 20 Time limit : 2 min #1 Find. #1 Point Value : 30 Time limit : 2.5 min #2 Find.
Derivative Review Part 1 3.3,3.5,3.6,3.8,3.9. Find the derivative of the function p. 181 #1.

Derivative Review Part 1 3.3,3.5,3.6,3.8,3.9. Find the derivative of the function p. 181 #1.
DIFFERENTIATION & INTEGRATION CHAPTER 4.  Differentiation is the process of finding the derivative of a function.  Derivative of INTRODUCTION TO DIFFERENTIATION.

DIFFERENTIATION & INTEGRATION CHAPTER 4.  Differentiation is the process of finding the derivative of a function.  Derivative of INTRODUCTION TO DIFFERENTIATION.
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.

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.
Concavity & the second derivative test (3.4) December 4th, 2012.

Concavity & the second derivative test (3.4) December 4th, 2012.
Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.

Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.
4.1 Antiderivatives and Indefinite Integrals Defn. A function F(x) is an antiderivative of f(x) on an interval I if F '(x)=f(x) for all x in I. ex. Find.

4.1 Antiderivatives and Indefinite Integrals Defn. A function F(x) is an antiderivative of f(x) on an interval I if F '(x)=f(x) for all x in I. ex. Find.
Extrema on an interval (3.1) November 15th, 2012.

Extrema on an interval (3.1) November 15th, 2012.
Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How.

Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How.
1 The Product and Quotient Rules and Higher Order Derivatives Section 2.3.

1 The Product and Quotient Rules and Higher Order Derivatives Section 2.3.
3.8: Derivatives of inverse trig functions

3.8: Derivatives of inverse trig functions
The chain rule (2.4) October 23rd, 2012. I. the chain rule Thm. 2.10: The Chain Rule: If y = f(u) is a differentiable function of u and u = g(x) is a.

The chain rule (2.4) October 23rd, I. the chain rule Thm. 2.10: The Chain Rule: If y = f(u) is a differentiable function of u and u = g(x) is a.
Techniques of Differentiation. I. Positive Integer Powers, Multiples, Sums, and Differences A.) Th: If f(x) is a constant, B.) Th: The Power Rule: If.

Techniques of Differentiation. I. Positive Integer Powers, Multiples, Sums, and Differences A.) Th: If f(x) is a constant, B.) Th: The Power Rule: If.
Product & quotient rules & higher-order derivatives (2.3) October 17th, 2012.

Product & quotient rules & higher-order derivatives (2.3) October 17th, 2012.
CHAPTER 2 2.4 Continuity Implicit Differentiation.

CHAPTER Continuity Implicit Differentiation.
Math 140 5.1 – Antidifferentiation: The Indefinite Integral 1.

Math – Antidifferentiation: The Indefinite Integral 1.
4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.

4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.
3.3 Product and Quotient Rule Fri Sept 25 Do Now Evaluate each 1) 2) 3)

3.3 Product and Quotient Rule Fri Sept 25 Do Now Evaluate each 1) 2) 3)

Similar presentations

Ads by Google