# HW 6 - Math E-21a Fall 2009 HW #6 problems Problems to turn...

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1 Math E-21a – Fall 2009 – HW #6 problems Problems to turn in on Thurs, Oct 15 : Section 11.3 : 42. Use implicit differentiation to find z x and z y : ln( ) y zx z 48. Find all the second partial derivatives: (, ) l n ( 3 5) f xy x y 62. Level curves are shown for a function f . Determine whether the following partial derivatives are positive or negative at the point P . (a) x f (b) y f (c) xx f (d) xy f (e) yy f Section 11.5 : 18. Use the Chain Rule to find the indicated partial derivatives: 22 ur s  cos sin ryx t sxy t    ; ,, uuu x yt  when 1, 2, 0 x  22. Use implicit differentiation and the formula x y F dy dx F  (for a function defined implicitly by ( , ) constant Fxy ) to find dy dx : 2 52 3 1 x yx y y e  28. Use implicit differentiation and the formulas x z F z x F and y z F z y F   (for a function defined implicitly by ( , , ) constant Fxyz ) to find z x and z y : ln( ) yz x z 37. Assume all the given functions are differentiable in this problem. If

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## This note was uploaded on 02/10/2011 for the course MATH E-21a taught by Professor - during the Fall '09 term at Harvard.

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HW 6 - Math E-21a Fall 2009 HW #6 problems Problems to turn...

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