This preview shows pages 1–8. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 3 5. Calculate: d dx [ sin(tan( x 2 / 3 ) ] = 6. Calculate f ( z ) where: f ( z ) = ( z 3 + 1 z + cos 2 z ) 2010 4 7. Calculate: d dx [ 2 + arctan(4 x ) ] = 8. Let y satisfy the equation x 2 e y = y 31. Then dy dx = 5 9. Find the equation of the tangent line to the curve y = x √ 8x at the point (4 , 8). 6 10. Let f ( x ) = 2 x 3 + 2 x + 1. Let g ( x ) be the inverse function of f ( x ). This means that f ( g ( x )) = x and g ( f ( x )) = x. (a) Notice that f (1) =3 and f (0) = 1 and f (1) = 5. What is g (5)? (2 points) (b) Calculate f ( x ). (3 points) (c) Take the derivative of both sides of f ( g ( x )) = x with respect to x . Now plug in x = 5. Use this to determine g (5). (5 points) 7 This page is for scratchwork 8...
View
Full
Document
This note was uploaded on 11/22/2011 for the course MATH 131 taught by Professor Hallseelig during the Fall '08 term at UMass (Amherst).
 Fall '08
 HALLSEELIG
 Statistics

Click to edit the document details