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Suppose f(x,y)=(ln⁡(x+3y))yf ( x , y ) = ( \ln ( x + 3 y ) ) ^ { y }

Question 128

Essay

Suppose f(x,y)=(ln⁡(x+3y))yf ( x , y ) = ( \ln ( x + 3 y ) ) ^ { y } .
Use a difference quotient to estimate fx(2,1)f _ { x } ( 2,1 ) and fy(2,1)f _ { y } ( 2,1 ) with h = 0.01.Give your answers to 3 decimal places.

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