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by: Miss Johan Jacobson

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Miss Johan Jacobson
OSU
GPA 3.6

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Miss Johan Jacobson on Monday October 19, 2015. The Class Notes belongs to MTH 311 at Oregon State University taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/224455/mth-311-oregon-state-university in Mathematics (M) at Oregon State University.

## Popular in Mathematics (M)

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Date Created: 10/19/15
H 590 01 53gt MTH 311 Chapter 4 Formulate the de nition of the derivative of a function f R gt gt R7 Give all possible equivalent de nitions and the geometric interpretation State and prove the rules of differentiation for f gaf fg fg f o 97 State the Rolle Lagrange and Cauchy theorems for derivatives Give an example if possible of a function 0 differentiable everywhere except at 7r 0 continuous everywhere except at 7r and differentiable everywhere 0 differentiable everywhere except at 7r and continuous everywhere 0 continuous and differentiable everywhere 0 differentiable everywhere but of class C2 only on R 7 0 not differentiable anywhere o f such that S 0 and 2 0 for all z E R o f such that lt 0 and gt 0 for all z E R7 0 fsuchthat f0 f 0 M0 10000 Obut f 10 17 i What can you say about a derivative of a monotone function 7 Of a continuous monotone function 7 About monotonicity of a differentiable function 7 Explore the topic from many anglesi Sketch Venn diagrams of sets ofcontinuous uniformly continuous bounded monotone differentiable differentiable with a bounded derivative injec tive and surjective functions Give examples if possible of functions that are in one set but not in another

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