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# Partial Derivative with Respect to a Parameter

EMETRC-E67PNL

Consider the function:

$$u = \beta_0 + (1/2)\beta_1^2x^2 - \beta_1yx.$$

Find the point, $\beta_1^*$, where the partial derivative of $u$ with respect to $\beta_1$ ($\partial u/\partial \beta_1$) is equal to zero.

A

$\beta_1^* = (yx)/(x^2)$

B

$\beta_1^* = 0$

C

$\beta_1^* = (1/4)(y/x)$

D

$\beta_1^* = (1/4)(yx)/(x^2)$

E

$\beta_1^* = -2(yx)/(x^2)$