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

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

Quizplus · Accepted Answer

The Answer is

f _ { x } ( 2,1 ) = 1.885

and

f _ { y } ( 2,1 ) = 4.444

.

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

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