Presentation is loading. Please wait.

Presentation is loading. Please wait.

AP CALCULUS 1009: TRIG FUNCTIONS and e. Derivative of Sine -Graphically.

Published byJoy Strickland Modified over 9 years ago

Similar presentations

Presentation on theme: "AP CALCULUS 1009: TRIG FUNCTIONS and e. Derivative of Sine -Graphically."— Presentation transcript:

1 AP CALCULUS 1009: TRIG FUNCTIONS and e

2 Derivative of Sine -Graphically

3 Derivative of Sine - Analytically REM: and

4 Derivative of Cosine - Analytically REM: and

5 TRIG DERIVATIVES TRIG Quotients and Reciprocal Identities: Likewise

6 TRIG DERIVATIVES TRIG Quotients and Reciprocal Identities: Likewise

7 TRIG DERIVATIVES TRIG: Make List of Trig Derivatives …Memorize!

8 Derivative of - Analytically REM:

9 Derivative of - Analytically Therefore the derivative of

10

11

12 Last Update 9/21/11 Assignment:p. 146 # 1, 5, 9, 15, 17, 23

Download ppt "AP CALCULUS 1009: TRIG FUNCTIONS and e. Derivative of Sine -Graphically."

Similar presentations

Ch 5.2: Verifying Trig Identities. What are you doing? Trying to prove the left side equals the right side How do I do that? 1.Pick ONE SIDE to simplify.

Ch 5.2: Verifying Trig Identities. What are you doing? Trying to prove the left side equals the right side How do I do that? 1.Pick ONE SIDE to simplify.
AP Calculus Review 3.1-3.5.

AP Calculus Review
AP Calculus Summer Work Notes. Undefined slopeZero slope equal Opposite multiplicative inverses (aka opposite reciprocals) rate of change.

AP Calculus Summer Work Notes. Undefined slopeZero slope equal Opposite multiplicative inverses (aka opposite reciprocals) rate of change.
Calculus CALCULUS Ideas from C3 you may need to know: –differentiation: the product rule –the quotient rule (in formula book) –chain rule, e.g. differentiate.

Calculus CALCULUS Ideas from C3 you may need to know: –differentiation: the product rule –the quotient rule (in formula book) –chain rule, e.g. differentiate.
An identity is an equation that is true for all defined values of a variable. We are going to use the identities that we have already established and establish.

An identity is an equation that is true for all defined values of a variable. We are going to use the identities that we have already established and establish.
Section 3.5a. Evaluate the limits: Graphically Graphin What happens when you trace close to x = 0? Tabular Support Use TblStart = 0, Tbl = 0.01 What does.

Section 3.5a. Evaluate the limits: Graphically Graphin What happens when you trace close to x = 0? Tabular Support Use TblStart = 0, Tbl = 0.01 What does.
Chapter 7 Trigonometric Identities and Equations.

Chapter 7 Trigonometric Identities and Equations.
Memorization Quiz Reciprocal (6) Pythagorean (3) Quotient (2) Negative Angle (6) Cofunction (6) Cosine Sum and Difference (2)

Memorization Quiz Reciprocal (6) Pythagorean (3) Quotient (2) Negative Angle (6) Cofunction (6) Cosine Sum and Difference (2)
Properties of the Trigonometric Functions. Domain and Range Remember: Remember:

Properties of the Trigonometric Functions. Domain and Range Remember: Remember:
1 8.3 Trigonometric Identities In this section, we will study the following topics: o Using trig identities and algebra to simplify trigonometric expressions.

1 8.3 Trigonometric Identities In this section, we will study the following topics: o Using trig identities and algebra to simplify trigonometric expressions.
Trig Identities.

Trig Identities.
3.5 Derivatives of Trig Functions. Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine.

3.5 Derivatives of Trig Functions. Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine.
AP Calculus I 2.4 Chain Rule St. Pius X High School Ms. Hernandez AP Calculus I F06 Q1 Derivatives Unit.

AP Calculus I 2.4 Chain Rule St. Pius X High School Ms. Hernandez AP Calculus I F06 Q1 Derivatives Unit.
Differentiation Rules

Differentiation Rules
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.
1.41.4 Combinations of Functions. Quick Review What you’ll learn about Combining Functions Algebraically Composition of Functions Relations and Implicitly.

Combinations of Functions. Quick Review What you’ll learn about Combining Functions Algebraically Composition of Functions Relations and Implicitly.
October 29, 2012 The Unit Circle is our Friend! Warm-up: Without looking at your Unit Circle! Determine: 1) The quadrant the angle is in; 2) The reference.

October 29, 2012 The Unit Circle is our Friend! Warm-up: Without looking at your Unit Circle! Determine: 1) The quadrant the angle is in; 2) The reference.
AP CALCULUS 1009 : Product and Quotient Rules. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________.

AP CALCULUS 1009 : Product and Quotient Rules. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________.
Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve.

Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve.
3.5 Derivatives of Trig Functions, p. 141 AP Calculus AB/BC.

3.5 Derivatives of Trig Functions, p. 141 AP Calculus AB/BC.

Similar presentations

Ads by Google