Let P(x, y, z) = xy + 2 $x ^ { 3 }$ $\sqrt { y ^ { 2 } - 1 }$ . Compute $\frac { \partial P } { \partial z }$ (2, 1, 3).
A) 2
B) 0
C) 3
D) 1
E) none of these

Name: Let P(x, y, z) = xy + 2 $x ^ { 3 }$ $\sqrt { y ^ { 2 } - 1 }$ . Compute $\frac { \partial P } { \partial z }$ (2, 1, 3). A) 2 B) 0 C) 3 D) 1 E) none of these
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Quizplus · Accepted Answer

Since P(x, y, z) does not contain the variable z, the partial derivative of P with respect to z is 0.

Let P(x, Y, Z) = Xy + 2 x3x ^ { 3 }x3

Let P(x, Y, Z) = Xy + 2 $x ^ { 3 }$