247_James Stewart Calculus 5 Edition Answers

247_James Stewart - or 45 At and an equation of the tangent line is or 46 At So an equation of the tangent line is or 47(a At So an equation of the

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

View Full Document Right Arrow Icon
=cos (tan sin x ) sec 2 sin x ( ) 1 2 sin x (cos x ) y =2 3 x 2 ± y / =2 3 x 2 (ln 2) d dx 3 x 2 ( ) =2 3 x 2 (ln 2)3 x 2 (ln 3)(2 x ) y =(1+2 x ) 10 ± y / =10(1+2 x ) 9 ² 2=20(1+2 x ) 9 (0,1) y / =20(1+0) 9 =20 y ³ 1=20( x ³ 0) y =20 x +1 y =sin x +sin 2 x ± y / =cos x +2sin x cos x (0,0) y / =1 y ³ 0=1( x ³ 0) y = x y =sin (sin x ) ± y / =cos (sin x ) ² cos x ( ± ,0) y / =cos (sin ± ) ² cos ± =cos (0) ² ( ³ 1)=1( ³ 1)= ³ 1 y ³ 0= ³ 1( x ³ ± ) y = ³ x + ± y = x 2 e ³ x ± y / = x 2 ( ³ e ³ x )+ e ³ x (2 x )=2 xe ³ x ³ x 2 e ³ x 1, 1 e y / =2 e ³ 1 ³ e ³ 1 = 1 e y ³ 1 e = 1 e ( x ³ 1) y = 1 e x y = 2 1+ e ³ x ± y / = (1+ e ³ x )(0) ³ 2( ³ e ³ x ) (1+ e ³ x ) 2 = 2 e ³ x (1+ e ³ x ) 2 (0, 1) y / = 2 e 0 (1+ e 0 ) 2 = 2(1) (1+1) 2 = 2 2 2 = 1 2 y ³ 1= 1 2 ( x ³ 0) y = 1 2 x +1 x >0 | x |= x y = f ( x )= x 2 ³ x 2 ± 42. 43. . At , , and an equation of the tangent line is , or . 44. . At , , and an equation of the tangent line is
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , or . 45. . At , , and an equation of the tangent line is , or . 46. . At , . So an equation of the tangent line is or . 47. (a) . At , . So an equation of the tangent line is or . (b) 48. (a) For , , and 6 Stewart Calculus ET 5e 0534393217;3. Differentiation Rules; 3.5 The Chain Rule...
View Full Document

This note was uploaded on 08/02/2011 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at University of California, Berkeley.

Ask a homework question - tutors are online