4.2 Class Notes - April 19 Prelim 3 on Tuesday April 24...

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April 19 Prelim 3 on Tuesday April 24 covers 7.4 Definite integrals 8.2 Volumes, 8.4 Improper Integrals 8.1 Integration by parts Ch. 11. Probability distributions 9.2 Partial derivatives i.e., the material from HWK 7,8,9 Formula and review sheets on Blackboard Partial Derivatives 22 (, ) 4 7 3 4 0 2 3 0 0703 2 2 2 3 fxy x y x x y y f xy x f y ff yx =++− =++ − − =++− − ∂∂ == =− = Meaning of partial erivatives 2 2 2 rate of change of when is fixed second derivative w.r.t. when is fixed rate of change of when changes rate of change of when y changes f x f x f x x x = = = = Partial Derivatives 2 2 7 3 ( ,2) 10 2 2 2 ( 1 ,)54 42 at 1, 2 0, 0 curve is flat 2 2 neither min nor max x x f fx x x x x f fy yy y y =−+ = + =+ − =− = = f(x,y) = 4x + 7y + x 2 –3xy±–y 2 saddle surface Graphs of slices f(x,2) 5 9 13 0 0.5 1 1.5 2 f(1,y) 5 9 13 11 . 522 . 53
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Why study partial derivatives? 22 2 2 The price of a European call option at time when the stock price is satsifies 2 volatility of the stock
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This note was uploaded on 11/14/2007 for the course MATH 1106 taught by Professor Durrett during the Spring '07 term at Cornell University (Engineering School).

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4.2 Class Notes - April 19 Prelim 3 on Tuesday April 24...

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