Calculus 2 Chapter 7.1

Honelako gehiago

MAT.105X A4

by David Kedrowski

VM266 1418

by John Krause

Tense Review

by Renata Herrera Barreiro

leptin

by alizee dewilde02

VM266 7337

Theorem 7.6

if f is continuous and increasing on [a.b] the f have an inverse function

Theorem 7.7

derivative of inverse function

the derivative of the inverse function g is the reciprocal of the derivative f

if a diffrentiable function f has an inverse function and if f'(g(c)) does not equal 0 then g is differentiable at c

Converse

Theorem 7.3

g: R -> D

f: D -> R

P <=> Q

Inverse Functions Pairs

One to One

Increasing or Decreasing

determine the slope of the funtion

f: D -> R is incresing for every D

One input - One output

unique fn

Horizontal Line Test

g=f^-1

conditions

g(f(x)) = x for every x in D

f^-1(f(x)) = X FOR EVERY X IN DOMAIN OF F

f(g(x)) = y for evey y in R

f(f^-1(x)) = X FOR EVERY X IN DOMAIN OF F^-1

Calculus 2 Chapter 7.1