Upgrade to access all content for this subject

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.

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

$\beta_1^* = 0$

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

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

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