Presentation is loading. Please wait.

Presentation is loading. Please wait.

Exams times and places Revisions

Published byClement Chase Modified over 5 years ago

Similar presentations

Presentation on theme: "Exams times and places Revisions"— Presentation transcript:

1 Exams times and places Revisions
7 Lecture in calculus Exams times and places Revisions

2 Exams times and places The exams may be earlier than the usual classes at 10:30 or even at 7:45.

3 Revisions

4 Prove the chain rule and the inverse function derivative

5 Indeterminate form Limits involving algebraic operations are often performed by replacing subexpressions by their limits; if the expression obtained after this substitution does not give enough information to determine the original limit, it is known as an indeterminate form.

6 Explain the L'Hôpital's rule with examples.

Download ppt "Exams times and places Revisions"

Similar presentations

4.4 L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we direct substitution, we get:

4.4 L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we direct substitution, we get:
Warm-up: Evaluate the integrals. 1) 2). Warm-up: Evaluate the integrals. 1) 2)

Warm-up: Evaluate the integrals. 1) 2). Warm-up: Evaluate the integrals. 1) 2)
Special Derivatives. Derivatives of the remaining trig functions can be determined the same way. 

Special Derivatives. Derivatives of the remaining trig functions can be determined the same way. 
8.2 L’Hôpital’s Rule Quick Review What you’ll learn about Indeterminate Form 0/0 Indeterminate Forms ∞/∞, ∞·0, ∞-∞ Indeterminate Form 1 ∞, 0 0, ∞

8.2 L’Hôpital’s Rule Quick Review What you’ll learn about Indeterminate Form 0/0 Indeterminate Forms ∞/∞, ∞·0, ∞-∞ Indeterminate Form 1 ∞, 0 0, ∞
Integration Techniques, L’Hôpital’s Rule, and Improper Integrals Copyright © Cengage Learning. All rights reserved.

Integration Techniques, L’Hôpital’s Rule, and Improper Integrals Copyright © Cengage Learning. All rights reserved.
I NDETERMINATE F ORMS The forms 0/0 and are called indeterminate because they do not guarantee that a limit exists, nor do they indicate what the limit.

I NDETERMINATE F ORMS The forms 0/0 and are called indeterminate because they do not guarantee that a limit exists, nor do they indicate what the limit.
L’Hopital’s Rule Section 8.1a.

L’Hopital’s Rule Section 8.1a.
8.7 L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we direct substitution, we get:

8.7 L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we direct substitution, we get:
Extra L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we try to evaluate this by direct.

Extra L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we try to evaluate this by direct.
AD4: L’Hoptital’s Rule P569-575. L’Hôpital’s Rule: If has indeterminate form or, then:

AD4: L’Hoptital’s Rule P L’Hôpital’s Rule: If has indeterminate form or, then:
(MTH 250) Lecture 11 Calculus. Previous Lecture’s Summary Summary of differentiation rules: Recall Chain rules Implicit differentiation Derivatives of.

(MTH 250) Lecture 11 Calculus. Previous Lecture’s Summary Summary of differentiation rules: Recall Chain rules Implicit differentiation Derivatives of.
6.2 Integration by Substitution & Separable Differential Equations.

6.2 Integration by Substitution & Separable Differential Equations.
Class Starter8-14-13 pg. 5. Vocabulary Variable Algebraic expression Numerical expression.

Class Starter pg. 5. Vocabulary Variable Algebraic expression Numerical expression.
EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.

EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.
Examples A: Derivatives Involving Algebraic Functions.

Examples A: Derivatives Involving Algebraic Functions.
Indeterminate Forms and L’Hopital’s Rule

Indeterminate Forms and L’Hopital’s Rule
Integration by parts.

Integration by parts.
You can do it!!! 2.5 Implicit Differentiation. How would you find the derivative in the equation x 2 – 2y 3 + 4y = 2 where it is very difficult to express.

You can do it!!! 2.5 Implicit Differentiation. How would you find the derivative in the equation x 2 – 2y 3 + 4y = 2 where it is very difficult to express.
Properties of Logarithms log b (MN)= log b M + log b N Ex: log 4 (15)= log 4 5 + log 4 3 log b (M/N)= log b M – log b N Ex: log 3 (50/2)= log 3 50 – log.

Properties of Logarithms log b (MN)= log b M + log b N Ex: log 4 (15)= log log 4 3 log b (M/N)= log b M – log b N Ex: log 3 (50/2)= log 3 50 – log.
U Substitution Method of Integration 5.5. The chain rule allows us to differentiate a wide variety of functions, but we are able to find antiderivatives.

U Substitution Method of Integration 5.5. The chain rule allows us to differentiate a wide variety of functions, but we are able to find antiderivatives.

Similar presentations

Ads by Google