**Unformatted text preview: **Bridge To Calculus HW #7 Last Name Firs? , whm‘ value(s) of a will make f(x) con’rinuous?
4Q :: q 1- +3
0 C G ‘- 4:: +3 2‘ Compute the limits. , $11223? , l—cos3£(/+OMJX)
a) 11m . ———————— we 2:? 1 Hana: I— ODJLJX
X‘Clmmt) 3 Figaci it“ and a; $0 that Tlixg2f(x) = f(_f2)_ @P (—2) : G 3:32, $4.0,
.12 x30. Given the following functions over- The closed infervols, a’r whoT points in The domain does The function
appear To be (a) differen’rioble, (b) con’rinuous but no’r differen’riable, and (c) neither continuous nor-
differi'en’rii Suppose u and ”it? are (iiffemntiable functions of :1: and that
11(1) 2 2, 213(1) m 5, 3(1) m 5, EU) = . Find the values of the following derivatives at :1? m 1. (a) gin-v) :9 uv' +— V u'
u(l)v'(1) + vCi) u'Ct) The siope 053 {he nonnal Riﬂe to the curve}: 3 2X3 + 1 at (1 , 3) is for x i 0 and if f is continuous at x = 0. than k m
(A) 4.432 (B) «1 (C) 0 (D) 1 (E) 332 12 Find 3;; for .1»; +3: — 2;: - x2 = -2 Ld d _ :.
33£+X%E+%_-2a% 7.x 0 13. The graph of y : {(x) is shown beiox-v. At “dun values of x c1993 ﬁx) appear to be
nondifferentiabie? {M4, 4} by {45‘ 3} 'X:-1,Xmllx=
.)X=:},X:=3 14. Is This function confinuous? Differentiable? AT x=0? f() 2x—3, -1$x<0
x =
‘ x—3, 05x<4 ,Cﬂ
©4303): “3
X“) z: #3 '1'“ Find The derivaﬁve:
Find the first derivative of the following functions. "’ u :s‘mx UL‘ 2 3 Jed-3 X 15. y: tan (sin x) U l
: CJQJ X 15. Y: sec(tan (3x)) _—————h—_——1
_..»—+—-——~__________‘ 3 [1': Co: XSEC" (Sp/1K) __{x2+2x+1 ifxgl, 5x“: ifx>1 3 I.
xx —x xﬁi .Fl(x):€ 3n>¢ ..| . m x2 + 5 1 < x _ _ _ 1m X
18. The functlon lS dlfferentlable everywhere. What is n? —9
a)
13 221-42. +311: -| [—I'irnl ...

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- Spring '14
- Calculus, Derivative, following functions, $0, $4.0, xx —x xﬁi, $11223