April 17Prelim 3 a week from today covers7.4 Definite integrals8.2 Volumes, 8.4 Improper Integrals8.1 Integration by partsCh. 11. Probability distributions9.2 Partial derivativesi.e., the material from HWK 7,8,9Formula and review sheets on BlackboadPartial DerivativesGiven ( , ) the partial derviative is computed by holdingconstant anddifferentiating the resulting function of f x yfxyx∂∂f(x,y) = – x2– y22Set 1( ,1)122yf xxfxxfyy= −−=−∂= −∂∂= −∂Example x22Volume of a cone( , )3233r hV r hVrhrVrhπππ=∂=∂∂=∂Example221222222( ,)()2()1()0 ()1()()xf x yxxyxyfxxyxxxyfxyxxxyyxy−−==++∂⋅+−⋅=∂+∂⋅+−⋅= −+=∂+Explaining ∂f/∂y222222( ,)()3(3,)33(3)xf x yxyfxyxyfyyfyy=+∂= −∂+=+∂= −∂+