homework1 - M408C Homework: 8/30 - 9/27 8/30 Plot the...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: M408C Homework: 8/30 - 9/27 8/30 Plot the slopes of the tangent lines of y = x 3 . 9/4 Give the definitions of the derivatives of f ( x ) = e x and g ( x ) = x x/ tan x . If f ( x ) = x 3 , plot the slopes of the tangent lines. Then use the definition to show that f ( x ) = 3 x 2 . Find the tangent line at x =- 2. Repeat this for f ( x ) = 1 /x, x = 2. Let f ( x ) = x 2- 3 x + 1. Use Newtons Method to find x 3 , given that x = 0. If you want to use Newtons Method to approximate 3 17, what should f ( x ) be? From the textbook, p.131 #3, 10. 9/6 If f ( x ) = x 3 + x- 3 and x = 1, use Newtons Method to find x 1 , x 2 , x 3 . Differentiate the following. Do the second one in two different ways. (a) 3 x 3 + 4 x 2 + 2 x + 3 1 x + x , (b) (3 x + 2)( x 2 + 2 x + 1) 9/11 Differentiate the following. (a) x 3 + 3 x 2 x 3- 3 x 2 , (b) 7 x 2 5 x 3 + 2 x 2 + 2 x + 3 9/13 Calculate d dx cos x in the following ways: (a) directly from the definition, using the identity for cos(...
View Full Document

Ask a homework question - tutors are online