MAT285-2007Spring

# MAT285-2007Spring - ~ M AT285 Final E xam ~ J\~ f>FtI~1l~l...

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~. MAT285- Final Exam ~J\~~ (f>FtI~1l~l)) _ ~O{]Ft SCOFt~ _ 1l01lJ\L SCOFt~: 100 INSTRUCTIONS: 1. PLEASE CIRCLE YOUR INSTRUCTOR: Jinjia Li : Moises Venouziou : Nihat Gogus 2. YOU MUST SHOW ALL OF YOUR WORK ON THE EXAM PAGES. UNSUPPORrED WORK WILL NOT RECEIVE ANY CREDIT. 3. GOOD LUCK!

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1. (5pts) Find the domain of the function f(x) = J9 - x 2 . d I' x 2 + X - 6 2. (5 III 1m . pts) F · x->2 X - 2 3, (5pts) Compute the FIRST derivative and the SECOND derivative with respect to x of f(x) = x 3 + 8. -1-
4. (5pts) Compute the derivative with respect to x of f(x) = x 2 sin(3x). 5. (5pts) Compute the derivative with respect to x of f(x) = eX . 2x 6. (5pts) Compute the derivative with respect to x of f(x) = In(';x + e). -2-

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" 7. (6pts) Compute By a (x 2 + tan(xy)) 8. (7pts) Use implicit differentiation to compute dy/dx if x and y satisfy the equation -3-
.- 9. (7pts) Find- the equation of the tangent line to the curve y = 2 x - 1 at the point (0, 0). 10. (7pts) In

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## This note was uploaded on 01/15/2012 for the course MAT 285 taught by Professor Feng during the Fall '08 term at Syracuse.

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MAT285-2007Spring - ~ M AT285 Final E xam ~ J\~ f>FtI~1l~l...

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