HW 15 Solutions

HW 15 Solutions - Derivative: Algebraic Homework Solutions...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Derivative: Algebraic Homework Solutions STOR 112 1. 10.6.6 f (- 2) = f (- 2 + h )- f (- 2) h as h gets close to 0 = 2(- 2 + h ) 2 + (- 2 + h )- (8- 2) h =- 7 h + 3 h 2 h = (- 7 + 3 h ) now set h=0 =- 7 Alternatively, this can be written mathematically as follows: f (- 2) = lim h f (- 2 + h )- f (- 2) h = lim h 2(- 2 + h ) 2 + (- 2 + h )- (8- 2) h = lim h - 7 h + 3 h 2 h = lim h (- 7 + 3 h ) =- 7 10.6.8 f (0) = f (0 + h )- f (0) h as h gets close to 0 =- h- h 2 h =- 1- h now set h=0 =- 1 Alternatively, this can be written mathematically as follows: f (0) = lim h f (0 + h )- f (0) h = lim h - h- h 2 h = lim h - 1- h =- 1 10.6.10 f (1) = lim h f (1 + h )- f (1) h = lim h (1 + h )- 2(1 + h ) 3- (1- 2) h = lim h 1 + h- 2- 6 h- 6 h 2- 2 h 3 + 1 h = lim h - 5 h- 6 h 2- 2 h 3 h = lim h (- 5- 6 h- 2 h 2 ) =- 5 10.6.12 f (5) = lim h f (5 + h )- f (5) h = lim h 2 / (5 + h )- (2 / 5) h = lim h 10- 2(5 + h ) 5 h (5 + h ) = lim h - 2 h 5 h (5 + h ) = lim h - 2 5(5 + h ) =- 2 25 10.6.14 f (12) = lim...
View Full Document

This note was uploaded on 11/27/2011 for the course STOR 112 taught by Professor Rubin,david during the Fall '06 term at UNC.

Page1 / 6

HW 15 Solutions - Derivative: Algebraic Homework Solutions...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online