×

### Let's log you in.

or

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

×

or

by: Zack Bales

158

2

4

# MA 161 Exam 2 study guide MA 161

Zack Bales
Purdue

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

×
Unlock Preview

Study guide for Exam 2
COURSE
Calculus I
PROF.
Dr. Mummert
TYPE
Study Guide
PAGES
4
WORDS
CONCEPTS
Calculus, MA 161, Exam 2, Study Guide, Purdue
KARMA
50 ?

## Popular in Calculus and Pre Calculus

This 4 page Study Guide was uploaded by Zack Bales on Wednesday March 2, 2016. The Study Guide belongs to MA 161 at Purdue University taught by Dr. Mummert in Spring 2016. Since its upload, it has received 158 views. For similar materials see Calculus I in Calculus and Pre Calculus at Purdue University.

×

## Reviews for MA 161 Exam 2 study guide

×

×

### 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: 03/02/16
Calc 161 Exam 2 Study Guide Expression Derivative C 0 xp pxp-1 ex ex x x a Ln(a)a Ln(x) 1/x Cf(x) Cf’(x) f(x)+g(x) f’(x)+g’(x) f(x)-g(x) f’(x)-g’(x) f(x)/g(x) (f’(x)g(x)-g’(x)f(x))/ 2 (g(x)) f(x)*g(x) f’(x)g(x)+g’(x)f(x) f(g(x)) f’(g(x))g’(x) Sin x Cos x Cos x -sin x 2 Tan x Sec x Csc x -csc x cot x Sec x sec x tan x 2 Cot x -csc x -1 2 Sin x 1/sqrt(1-x ) Tan -1x 1/(x +1) Sinh x Cosh x Cosh x Sinh x Tanh x Sech x Sech x -sech x tan x Csch x -csch x coth x 2 Coth x -csch x Power Rule: d/dx (x ) = px-1 d/dx (C * f(x)) = C * d/dx (f(x)) Product Rule: d/dx (f(x)*g(x)) = f’(x)g(x)+g’(x)f(x) Quotient Rule: 2 d/dx (f(x)/g(x)) = (f’(x)g(x)-g’(x)f(x))/(g(x)) Trig Facts: Pi/6 Pi/4 Pi/3 Pi/2 Sin θ ½ 1/sqrt(2) Sqrt(3)/2 1 Cos θ Sqrt(3)/2 1/sqrt(2) ½ 0 Tan θ 1/sqrt(3) 1 Sqrt(3) DNE Tan x = sin x/cos x arcsin has domain [-1,1] range [- pi/2, pi/2] Sec x = 1/cos x arccos has domain [-1,1] range [0,pi] Csc x = 1/sin x arctan has domain (-Ꝏ,Ꝏ) range (-pi/2,pi/2) Cot x = cos x/sin x Cos x +sin x = 1 1+ tan x = sec x 2 Chain rule: d/dx(f(x)) = f’(x)(x’) Implicit Differentiation X +y = 1 d/dx (X +y ) = 0 2x+2yy’=0 2yy’ = -2x Y’ = -x/y Logarithmic Differentiation; d/dx (ln x) = 1/x d/dx (log a) = (1/ln a)(1/x) d/dx (ln 3x) = (1/3x)(3) = 1/x d/dx (ln 3 + ln x) = 0+1/x = 1/x d/dx (ln x ) = d/dx (2 ln x) = 2(1/x) = 2/x Hyperbolic functions: x -x Sinh x = (e – e )/2 x -x Cosh x = (e + e )/2 2 2 Cosh x – sinh x =1 Growth: Y’ = ky Y(t) = y eo kt t = (ln 2)/k t= time to double 2=e => double K = (ln 1/2 )/t => half life 1/2 Newton’s Law of Cooling dT/dt = k(T-T ) s Assume T is s0 if not given Related Rates: 1.Draw picture 2.Label things that change with variables 3.Identify equations 4.Differentiate using chain rule 5. Plug n chug

×

×

### 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

Steve Martinelli UC Los Angeles

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

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Steve Martinelli UC Los Angeles

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