This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 g ( x ) as ( g ( x ))1 and using the product rule. (Ive tried to make this second method clear by rewriting the function for you in each case.) (a) f ( x ) = sin( x ) x 2 = sin x x2 . (b) f ( x ) = x x 2 + x = ( x ) ( x 2 + x )1 . 3. Compute the derivative of each of the functions below in two dierent ways. First use algebra (the binomial theorem) to expand the expression and apply a simple derivative formula. Then recompute the derivative by using the chain rule instead. (a) f ( x ) = ( x + 2) 3 . (b) f ( x ) = (3 x 2 + 1) 4 . Hints and Suggestions for Assignment 2 1. (a) Easy! (b) Write 3 x and 1 /x as powers of x . 2. (a) Straightforward. (b) Be willing to factor. 3. (a) Use Pascals triangle to write out ( A + B ) 3 . Here A = x and B = 2 so your answers will include powers of 2, like 4 or 8. (b) Use Pascals triangle to write out ( A + B ) 4 . Here A = 3 x 2 and B = 1....
View
Full
Document
This note was uploaded on 04/02/2009 for the course MTH 142 taught by Professor Staff during the Spring '08 term at Sam Houston State University.
 Spring '08
 STAFF
 Calculus, Derivative

Click to edit the document details