01:640:151 Study Guide - Inflection Point, Minuscule 33, Related Rates

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30 Oct 2014
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Limits and continuity: find the following limits: (x2 2x + 1),b) lim x . 5ex + 4e x , e) lim x 8 : find the following limits, lim x 1, lim x . Derivative: find the equation of the tangent line to the curve de ned by the equation at the point ( , 2). ln(xy) + 2x y + 1 = 0: find y in each case. Do not simplify your answer: y = x7 3x + 6 , x4y + 5y6x3 = 8, y = e5x sin(x2), xexy+3y = y, 1 x2: y , y = (1 + 2x)1/x, state the formal de nition of the derivative of the function f (x). Compute the following: (f + g) (3) , (f g) (3) , g(cid:19) (cid:18) f (3) , (s g) (3) , f g(cid:19) (cid:18) f g (3) .

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