Solve {l}{y(-1/2)=1.text{Then}dy/dxtext{at}x=-1/2text{isequalto:}}{{llll}{text{(A)}frac{-(2+sqrt{3})*4sqrt{2}}{4+3sqrt{2}}text{(B)}frac{-(2+sqrt{2})*4sqrt{2}}{4+3sqrt{2}}text{(C)}}&{frac{-(3+sqrt{2})*4sqrt{2}}{4+3sqrt{2}}text{(D)}frac{-(3+sqrt{2})*4sqrt{2}}{4-3sqrt{2}}}}

$$\left. \begin{array} { l } { y ( - \frac { 1 } { 2 } ) = 1 . \text { Then } \frac { d y } { d x } \text { at } x = - \frac { 1 } { 2 } \text { is equal to: } } \\ { \left. \begin{array} { l l l l } { \text { (A) } \frac { - ( 2 + \sqrt { 3 } ) \times 4 \sqrt { 2 } } { 4 + 3 \sqrt { 2 } } \text { (B) } \frac { - ( 2 + \sqrt { 2 } ) \times 4 \sqrt { 2 } } { 4 + 3 \sqrt { 2 } } \text { (C) } } & { \frac { - ( 3 + \sqrt { 2 } ) \times 4 \sqrt { 2 } } { 4 + 3 \sqrt { 2 } } \text { (D) } \frac { - ( 3 + \sqrt { 2 } ) \times 4 \sqrt { 2 } } { 4 - 3 \sqrt { 2 } } } \end{array} \right. } \end{array} \right.$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$y=1\left(-2\right)$$

Multiply 1 and -2 to get -2.

$$y=-2$$