Correct 6 1 pt find the partial derivatives of the

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(correct)
6y/(7x-3y)ˆ2 -6x/(7x-3y)ˆ2 (correct) 7. (1 pt)
w r = w s = w t = Answer(s) submitted: 2r(2rˆ2+9sˆ2+tˆ2)ˆ(-1/2) 9s(2rˆ2+9sˆ2+tˆ2)ˆ(-1/2) t(2rˆ2+9sˆ2+tˆ2)ˆ(-1/2) (correct) 8. (1 pt)
Find the partial derivatives of the function f ( x , y ) = Z x y cos ( 9 t 2 + 9 t + 2 ) dt f x ( x , y ) = f y ( x , y ) = Answer(s) submitted: cos(9xˆ2+9x+2) -cos(9yˆ2+9y+2) 1
(correct) 9. (1 pt) Find the partial derivatives of the function f ( x , y ) = xye - 8 y f x ( x , y ) = f y ( x , y ) = f xy ( x , y ) = f yx ( x , y ) = Answer(s) submitted: yeˆ(-8y) xeˆ(-8y)-8xyeˆ(-8y) eˆ(-8y)-8yeˆ(-8y) eˆ(-8y)-8yeˆ(-8y) (correct) 10. (1 pt) Given F ( r , s , t ) = r ( 5 s 2 + t 3 ) , compute: F rst = 11. (1 pt) Calculate all four second-order partial derivatives (correct)
and check that f xy = f yx . Assume the variables are restricted to a domain on which the function is defined.

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