Homework 3.3.pdf - Homework 3.3 Ryan David MA 242 section...

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10/1/2018 Homework 3.3 1/3 Current Score : 35 / 35 Due : Thursday, October 11 2018 11:02 PM EDT 1. 6/6 points | Previous Answers Determine the first partial derivatives of = 6 x = 6 y = −6 z 2. 4/4 points | Previous Answers Determine the first partial derivatives of at the point = 1243 = −443 f x f y f z h ( r , s ) = ln( r + s + 3) 2 2 P (6, −2). h (6, −2) r h (6, −2) s Homework 3.3 (Homework) Ryan David MA 242, section 002, Fall 2018 Instructor: Eric Randall WebAssign g ( x , y , z ) = 6ln . 2 xy z
10/1/2018 Homework 3.3 2/3 3. 18/18 points | Previous Answers Determine the second partial derivatives of = (4 y 3 z 2)(8 x 2 y 3 z 2 sec 2(9+2 x 2 y 3 z 2) tan (9+2 x 2 y 3 z 2)+ sec 2(9+2 x 2 y 3 z 2)) = (4 xz 2) (12 x 2 y 5 z 2 sec 2(9+2 x 2 y 3 z 2) tan (9+2 x 2 y 3 z 2)+3 y 2 sec 2(9+2 x 2 y 3 z 2)) = ((4 xy 3)(8 x 2 y 3 z 3 sec 2(9+2 x 2 y 3 z 2) tan (9+2 x 2 y 3 z 2)+ sec 2(9+2 x 2 y 3 z 2)2 z )) = 6 x 2 z 2(12 x 2 y 4 z 2 sec 2(9+2 x 2 y 3 z 2) tan (9+2 x 2 y 3 z 2)+ sec 2(9+2 x 2 y 3 z 2)2 y ) = 6 y 2 z 2(8 x 3 y 3

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