### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Calculus and Analytic Geometry I MATH 151

RU

GPA 3.79

### View Full Document

## 18

## 0

## Popular in Course

## Popular in Mathematics (M)

This 4 page Class Notes was uploaded by Angelina Steuber on Monday October 19, 2015. The Class Notes belongs to MATH 151 at Radford University taught by William Case in Fall. Since its upload, it has received 18 views. For similar materials see /class/224680/math-151-radford-university in Mathematics (M) at Radford University.

## Reviews for Calculus and Analytic Geometry I

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/19/15

Math 151 Section 23 Product and Quotient Rule The Product Rule If fx FxS x then f39x F39xS x S39x Fx Quotient Rule Tx BxT x T xB x I h f f x BmJ en f x BOW Example 1 Given fx x2 4xx2 3x find f m f x 1x2 4x2 3x 1x2 Ecsz 4x dx dx f x 2x 4x2 3x 2x 3x2 4x f x 2x3 6x2 4x2 12x 2x3 8x2 3x2 12x f x 4x3 21x2 24x Example 2 Given fx 5x3 4x2 4x2x2 6x find f x f39x 15 4x2 4xX2x2 6x 12x2 6xX5x3 4x2 4x dx dx f x 15x2 8x 42x2 6x 4x 65x3 4x2 4x Example 3 Given f x 4x36 find f 39x d fOC d 4163 1W x dx f x 12xzex 4x36 or f x 4xzex3 x Example 4 Find the derivative of f x ex sin x f x ex sin x i sin xex f x ex sinxex cosx Example 5 2 x Given foo 3x3 4x 5 find f39x 3x3 4x 51 ex x2 3x2 4 5 foo dx dx 2 2 3x 4x 5 3x3 4x 52x x2 9x2 4 3x3 4x 52 fx 6x4 8x2 10x 9x4 4x2 3x3 4x52 3x4 4x2 10x 3x3 4x52 f 39x fx Example 6 2 Given fx then f39x x 3x3 x2 3x 32x 5 x2 5x2x 3 f x x2 3x32 x 2 2x3 6x2 6x 5x2 15x15 2x3 10x2 3x2 15x x2 3x32 fx 2x3 11x2 21x15 2x3 13x2 15x x2 3x32 2x2 6x15 f X x2 3x32 Example 7 Given fx x26 2 then f39x A ik kt ik fr dx 2 2 dx 8 x 2 x2 2 X ex2x f X x2 22 xzex 26X 2xex f X x2 22 x2 2x 2 fm W Example 8 Find the derivative of gx g x x3 cos x 2cos xx3 x3 sin x cos x3x2 6 X 8 06 x2xsinx3cosx 6 X xsinx3cosx 4 X Example 9 Find the equation of a tangent line to the function f x x3ex at the point Le d X d X fxx3e ie x3 dx dx f39x 3x26 x3ex f 1 312e113e1 3e1e 46 y e4ex 1 y e4ex 4e y4ex 3e y 64x 3

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.