This preview shows pages 1–6. 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 Document
Unformatted text preview: f (2) =3 and f 00 ( x ) < 0 for all x then (a) f (1) < 10. (b) f (1) = 10. (c) f (1) > 10. (d) there is not enough information to say anything about f (1). If f ( ) = e 3 100 then f ( ) is (a) e 3 100 . (b) 3 e 2 100 . (c) 100 e 3 99 . (d) 300 e 2 99 . (e) e 3 100 + 100 e 3 99 . (f) 3 e 2 100 + 100 e 3 99 . (g) none of the above. If f ( r ) = cosh(2 r ) then f (101) (0) (i.e., the 101st derivative evaluated at 0) is (a)2 101 (b) 0 (c) 1 (d) 2 101 (e) none of the above. 5. Find the derivatives of the following functions (hint: it might be possible to simplify the function before taking the derivative): (a) (5 points) f ( x ) = cos 2 ( x 2 ) + tan 2 ( x 2 ) + sin 2 ( x 2 ) (b) (4 points) f ( x ) = y 42 y 2 + 1019 y + 3 y 6. (8 points) Find an expression for dy dx (i.e., dy dx = something involving y and/or x ) given that x + y = arctan( y ) ....
View
Full
Document
 Spring '07
 Arnold
 Calculus, Derivative

Click to edit the document details