Solve -sqrt{2}xcos(pi/12)*sqrt{3}

$$- \sqrt { 2 } x \cos ( \frac { \pi } { 12 } ) \times \sqrt { 3 }$$

Evaluate

$$-\frac{9659258262890683\sqrt{6}x_{0}}{10000000000000000}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$-\sqrt{2} x 0.9659258262890683 \cdot \sqrt{3}$$

Multiply 0.9659258262890683 and -1 to get -0.9659258262890683.

$$-0.9659258262890683\sqrt{2}x_{0}\sqrt{3}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$-0.9659258262890683\sqrt{6}x_{0}$$

Differentiate w.r.t. x_0

$$-\frac{9659258262890683 \sqrt{6}}{10000000000000000} = -2\frac{3660254037844388}{10000000000000000} = -2.366025403784439$$