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For the function `f(x,y)=6*log(3x+7y)`, note that `f(100,100)=36`.

Give exact answers.

(a) Find `f_{x}(100,100)`=  

(b) Find `f_{y}(100,100)`=  

(c) Find the expression for the linear approximation to the function at the point `(100,100)`.  

(d) Use the expression for the linear approximation to approximate `6*log(1012)=f(104,100)`.  

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   x  x  √  n√  |   | (   ) π ∞ DNE
   x  √  (   ) π ∞ DNE
( ) ( ] [ ) [ ] —∞ ∞ ∪ DNE
< > ≤ ≥ or All Real Numbers DNE
log logn ln n√  | | e 
sin cos tan arcsin arccos arctan ⟨ ⟩
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