×

### Let's log you in.

or

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

×

or

by: Nikki Bee

98

0

5

# Study guide for exam 1 Math 1610-090

Marketplace > Purdue University > Math > Math 1610-090 > Study guide for exam 1
Nikki Bee

GPA 4.0
Calculus 1

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

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

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

×
Unlock Preview

Helped me get a 100 on the first exam. This will help a lot.
COURSE
Calculus 1
PROF.
TYPE
Study Guide
PAGES
5
WORDS
KARMA
50 ?

## Popular in Math

This 5 page Study Guide was uploaded by Nikki Bee on Wednesday June 10, 2015. The Study Guide belongs to Math 1610-090 at Purdue University taught by in Spring 2015. Since its upload, it has received 98 views. For similar materials see Calculus 1 in Math at Purdue University.

×

## Reviews for Study guide for exam 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: 06/10/15
H EL Spring 2015 MA 16100 Study Guide Exam 1 Review of AlgebraPreCalculus a Distance between P11 yl and Pa2 yg is PQ 12 x12 I y2 y12 b Equations of lines i Point Slope Form y y1 2 7725 511 ii Slope Intercept Form y 2 ma b 1 C L1L2 42gt m1 m2 L1 1L2 4 m2 1 d Equation of a circle a h2 y k2 r2 e Determining domain of a function f Transformations of Functions y f 39lt yfxc I Vertical Shift 0 gt 0 yfx a y c gt shift vertically 0 units up b y 0 gt shift vertically 0 units down yfxc r r KKK II Horizontal Shift 0 gt 0 a y f a 0 gt shift f horizontally 0 units right b y f a c gt shift f horizontally 0 units left Y yf X39I39C Yf x Yf x c V v X C III Vertical Stretch Shrink c gt 0 y 2 cf gt stretch f vertically by a factor 0 If c lt 17 this shrinks the graph Y ycfx Yf X yfun IV Horizontal Stretch Shrink c gt 0 37 Q y f E gt stretch f horizontally by a factor 0 If c lt 17 this shrinks graph 0 Y taquotquoti7 0 l l V Re ections y f m x yfcx Yf x a y f1 gt reflect about az aXis b y f 1 gt reflect about y aXis Y yf x yfx x 0 NH Combinations of functions composite function f o f y 6 exponential functions y a a gt 0 xed agt1 0ltalt1 Y Y x 3 x a Y1 o x LaW of Exponents One to one functions Horizontal Line Test inverse functions nding the inverse f11 of a 1 1 function f graphing inverse functions yf391x yx yfx x E Logarithmic functions to base a y loga 1 a gt 07 a 7E 1 agt1 0ltalt1 y Y y1oga x y1oga x 01 x 0N Logarithm formulas logaxzy ltgt ayza logaam 3 for everya E R alogam 3 for everya gt 0 Law of Logarithms Finite Limits a lim L gta b m gta C lim f L left hand limit gta logawy loga a loga y loga loga 3917 loga y y 10ga93p p loga a lim f L right hand limit Yf x Yf x Yf x Recall gta limf1L ltgt lim lim faL m gta gta 10 In nite Limits a lim 00 gta b lim 00 m gta 0 lim 00 gta Remark The line 1 a is a Vertical Asymptote of f if at least one of lim f m gta or lim is 00 or 00 gta Yf X w l N yf x RF or lim f m m l 11 12 13 Limit Laws computing limits using Limit Laws 2 lim h2a L ar ia SQUEEZE THEOREM If h1a S S h2a and lim h1a a gta then lim L a gta f a f continuous on an interval f continuous from the t f continuous at a ie lim ar ia left at a ie lim ar ia jump discontinuity removable discontinuity in nite discontinuity Y f a or continuous from the right at a ie lim f a gta Yf x quotgt x removable discontinuity infinite discontinuity Jump discontinuity LIMIT COMPOSITION THEOREM If f is continuous at b Where lim 95 2 b then 91133 fgw f 91133 gm my Limits at In nity ggfL wgtggg L Y F m m L x w L x 14 15 Remark The line y L is a Horizontal Asymptote of f E Z 332 f331 Average rate of change of y f over the interval 511 512 39 39 A3 332 511 slope of secant line through two points average velocity De nition of derivative of y f h at a f a lim flta a or equivalently f a lim M interpretation h gt0 h ac m a a of derivative slope of tangent line the graph of y f at a velocity at time a fWU instantaneous rate of change of f at a d y differentiable functions ie d3 Derivative as a function f lim gt0 1quot exists higher order derivatives f mf h d2y d332n

×

×

### BOOM! Enjoy Your Free Notes!

×

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!"

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Jim McGreen Ohio University

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

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