Limited time offer 20% OFF StudySoup Subscription details

Rutgers - Calculus 640 - Class Notes - Week 5

Created by: Ishmam L Chowdhury Elite Notetaker

> > > > Rutgers - Calculus 640 - Class Notes - Week 5

Rutgers - Calculus 640 - Class Notes - Week 5

Join more than 18,000+ college students at Rutgers University who use StudySoup to get ahead
School: Rutgers University
Department: Calculus and Pre Calculus
Course: Calculus 1
Term: Spring 2019
Tags: Product Rule and Quotient Rule, The Chain Rule, Tangent lines, Implicit Differentiation, and Inverse Trigonometric Functions and Graphing Functions
Name: Calculus 151, Week 5 Notes
Description: These notes cover from Section 3.3 to 3.9 excluding 3.4
Uploaded: 02/26/2019
4 Pages 34 Views 27 Unlocks
  • Better Grades Guarantee
  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!

Unformatted text preview: 02419124 Section 3.3 differentiable, then f is Product Rule: ff, 9 ore differenliable and 10(x)(-)) = f'(*)g(x) + f(x) g'(x) Exi- find. IO3 1 " (~) = (4x})(cy) + (x4) (e) f'(x) g(x) f(x) g'(-) f) 9(-) 6) 56) = (2x2-7)(x+40%) 7 5)= {22)-o](5x +45) EC) 90) c)f(x) = *{(), f(43):3,"l2)-7 Find (2) Pec) glx) Let 90) be equal to to? (x) = f'(x) + f(x) (2x) games goed F'(@) = f'(2) (22) + f(2) (262) = (-+)(4) + (3)(4) -16 Quotient Bule:- r_f99. are differentiable, then f is differentiable andi d (162) = f(x) g(x) - f(x) '() dx 907 (x)}? One way to remeber it is lodhi - hidlo (10) 10 = bottom hi top de derivative6: find the derivative a) r() - 2_ ) 4x5469 (2) 297 96) 10-) g'() F'@) = (2x)(42516) - (2) [4(534) (4+5+c)? gonja b) f(x) = x - 2* .fl.) 3ex + = 9x) (c) 916) r() - G -23ext) - F-22) (3*** (3*3 458) 96) Example h(x) = xfG) Find 1 (3) if f(3)--| f(3) = 4, g(3)-5, and g'(3) = -2 h'() =*(*F(-) (96-)) ( f(-) 1: (96-)) (g(x)) - (1) f()+ xf?@]g(x) = x f(x) g'(x) [g(x)]? 1113)= [f(3) + 3 f'13)] g(3) - (3) f(3)g'(3)! ( 9(3))?h (3) = [(-1) +3(4)]5) - 3 (-1)(-2) (5) find the longent line toh when x=3 slope (3) - 4 (3) - 3.468) - 360- Point 13,-3) tengont_line; y+ 3 h (x-3) - Postponed until after Midterm 3.4 is Section 3.5 f() is differentiable. I t Secend derivative of fis p" (x) = + (f*(x)) differentiable, then the Similarlys fos () -d (F"(x)) pens (*), fos) (*) , -.. Exomple :- find f** () if f(- f (x) - 3-4 F(x)-4(3)x5 -12x-5 f"(x) = -5(-12) x6 = 60x6 f ) = -6 (60) x-7 ---- -360x-7

Join StudySoup for FREE
Get Full Access to Rutgers - Class Notes - Week 5
Join with Email
Already have an account? Login here
×
Log in to StudySoup
Get Full Access to Rutgers - Class Notes - Week 5

Forgot password? Reset password here

Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here