×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

### Create a StudySoup account

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

or

##### By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

## Calculus 1

by: Vernie McCullough

6

0

11

# Calculus 1 MATH 161

Vernie McCullough

GPA 3.58

J. Buchanan

### Almost Ready

These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

### Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

### Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

COURSE
PROF.
J. Buchanan
TYPE
Class Notes
PAGES
11
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 11 page Class Notes was uploaded by Vernie McCullough on Thursday October 15, 2015. The Class Notes belongs to MATH 161 at Millersville University of Pennsylvania taught by J. Buchanan in Fall. Since its upload, it has received 6 views. For similar materials see /class/223526/math-161-millersville-university-of-pennsylvania in Mathematics (M) at Millersville University of Pennsylvania.

×

## Reviews for Calculus 1

×

×

### What is Karma?

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

Date Created: 10/15/15
Comprehensive Graphing 1 Example 1 Suppose we have the following function and its rst and second derivatives 4r fa i 274x3 4 3 7 2 Hrs 2 2 r 7 4r 3 Wm 8amp3 7 9r 12 2 7 4r 33 The graphs of the rst and second derivatives resemble 73975 715 A 710 720 We can estimate from the graph of the rst derivative or solve algebraically from the formula for the rst derivative that f i 0 It is very di icult to see from the graph of the rst derivative that f lt 0 for m lt 73 It is very di icult to see from the graph of the second derivative that f lt 0 for m lt 73522 lf f7 m 705367 m 774647 and f73522 m 70478 sketch the graph of 2 Example 2 Suppose we have the following function and its rst and second derivatives 3 x fa 2 7 2 7 3 7 22 7 4 7 9 f 7 2 7 2 7 32 272 18 27 f 2 7 2 7 33 The graphs of the rst and second derivatives resemble 10 2 5 2 2 4 6 8 4 7 2 4 6 8 V 2 5 75 V 7 5 710 We can estimate from the graph of the rst derivative or solve algebraically from the formula for the rst derivative that f 0 07 f 2 7 07 and f 2 0 The second derviative is equal to zero only at 0 If f0 07 f2 7 m 71484027 and f2 m 10234 sketch the graph of wo s 133 quoty 397 5 1 bu to39d w 1 we to ca M M39W 0 x 01 Mto 1 mix1 10 C 39B A 39b B Wye x 2 n quot I 6 6 5 Ms 12 39 xw WHLw s 3 gigs 11 25 33 mt II M quot 5 MW 2 v125 262 MluoN HQ 9 quotCu u I quotN 4qs w Saw N OBIQ 33 3 Obi6 IHRI AampampN 23x colq d NR mi 13 d 24 2 T423 4Q d 0 Cyanlilllli vi a 2 NQTEV Cw 3w 32f 39 Mhlbl amp 639 23 653 quotLt31L 0 z m 9 ZWQ G2 Xv 23232L3 no Rec 39 90 wk 44Kampzo 39o M 0 90 1 M 7kquot3 kao 0 uM R90 7 7 await W rm 7 39 az 7xz La Io 397 I a W M MAIlpl amp b7 25 v6msz r 1 m M hdq m Rec Z o 3 01 quot10 amp um 514 mg XV T 39 7413 QM39W 2 2494 190 11249 m 4 KQo Rag 39 12 m m quot2 m M quotI quot 3 0 em 2 quotLZGcQ I 39239 v 439 37 L8 15 he MMH ampJ62 72 mm m 2 IQ 1622z M W m x R o A o 3X JHZ JT7tl K N E 15 39 HK 1 NM 39 ex 38 RIM I m V2 39 L 3 62 M O Q i 2 M 2 aha2X 39a L1 Z 2 Lb towgsa t M HMO amp m m Admd ol M SQ Wevdh W Max mo 4 mo 33 6amp3 i 39l Lg lt6 a 0 0 H IQ x20 W h Max 1OWQ Ll 3quot an M MAIN ample 35 4t Wtzlc I6 0 V68 2 0 m 32 23 3 M L27 4 r0 mag19quot 024 73 I11 M N75 93954 Q I 5 A 3 away9 m 5 39039 2 R39 b z 45044 5 tws hm R R2 2933 s u s 12 lb 1 150 1 v 7 7 QAvi T R o 2 42 16 50 39 39 32 MMbl Qle 4 PM ltub 10 goWQ 5M quot 2 x M PA 4 49gto MW L mm 1H 9 H ulb 43 7 QM 44646 Qx bo Rama 5 R ORUIHoMS l 2 Iv Jul 4 7 V4 32 N 433 A 002 J 409 ulllllllult J its 0 N Ddg A Dixm i 9520 O N sa oz 13 I i 5 in k wwv 9 A9 I A J n he h lOcJ Qdanlor 513 Spice Jo k KPIIITO 3J9

×

×

### 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

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Anthony Lee UC Santa Barbara

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

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

#### "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."

Become an Elite Notetaker and start selling your notes online!
×

### 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.