151 Quiz 6 2.5-2.6

# 151 Quiz 6 2.5-2.6 - MATH I51 Mrs Bonny Tighe QATZ6 NAME...

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MATH I51 Mrs. Bonny Tighe 1. Finddy/dx b) y: cos'z(+) c)y= (x2 +2)6(x4 +2x)6 SECTION Fn. r0/19107 QATZ6 2.5-2.6 25 points NAME a)v=: Jsinx + 2 ,. (2*' -3*\t c) Y= l- | \ sec.r / 2. Suppose that F(x) = f [g(x)] and cG)=1, c'G)=--2, f'(3)=-1, sQ)=2, f'(l):3, Find F'(3):_. ' 3. If g(t): cos3t, find g"' (x / 9)

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4. Find the acceleration of a particle with position fi.mction of ,r(t) = cot'? r' meters at time g =l seconds. 5. Find the 95tr derivative for the tunction .f(x) = sin3x and for /(x) =;f using ().r+l)- pattems. 6. Iffis a differentiable function at all x and has an inverse function s@)=fr(x) then c'@)=T|'. Find g'(-2) for f(x)=f a)aa1 . 7. Find the following limits: , ,. sin5x t2 l-cos(x3) a) run-= Dl llln----- ^ = c) llm-------=:- = x t-+u I _ cos- t .x+0 x'
MATH 15I Mrs. Bonny Tighe 1. Finddy/dx QArz 6 2.5-2.6 25 points a)v=l Jsinx+2 SECTION Fn. r0t19t07 ,/\ JI Navle )r-fwr.,eerrtr,-t ;lsu^" r') tL fu/a*. (*':,'J.j ,(r (xq rtrx zr) y'i '( ,) '(-') " (g)('r) )17*n .-4a 3. If g(t)= cos3t , find g" (7, /9) : { }7, q'(4-- -3sd-'3t {.,t*) . -q c.os3t \"'ti ' zl car3f Y') a6 - -*(s,:**')*/(r**) b) y: cos'z1|) {c"st/rf ) .- XC""C/,J)' .(-s; U")X-*,) c)y= (x'z+2161x4 +2x76 (2r' -3r\t 'rv=[ '** ) 2. Suppose that F(x) = f [g(x)] and g(3)=1, s'G)=-2, f'(3)=-r, sQ)=2, f'(l)=3, t\ Find r'(3):-\-Fl. €'(r). l'(9(r;)9'Ix; = 1[-(3fO) '3Y'-) ' 2e,,0r) ru^61; .

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## This note was uploaded on 04/07/2008 for the course MATH 151 taught by Professor Tighe during the Spring '08 term at UMBC.

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151 Quiz 6 2.5-2.6 - MATH I51 Mrs Bonny Tighe QATZ6 NAME...

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