Solve d/dxleft(6xsqrt{1-x^2/3}+2xsqrt{1-3x^2}right)

$$\frac{d}{d x } \left(6x \sqrt{ 1- \frac{ { x }^{ 2 } }{ 3 } } +2x \sqrt{ 1-3 { x }^{ 2 } } \right)$$

Evaluate

$$\frac{2\left(\sqrt{3}\left(-\left(\sqrt{1-3x^{2}}+\sqrt{3\left(3-x^{2}\right)}\right)x^{2}-\sqrt{1-3x^{2}}x^{2}+3\sqrt{1-3x^{2}}\right)-3\sqrt{3-x^{2}}x^{2}+\sqrt{3-x^{2}}\right)}{\sqrt{\left(1-3x^{2}\right)\left(3-x^{2}\right)}}$$

Differentiate w.r.t. x

$$\frac{2\sqrt{3}x\left(\left(-3\left(3-x^{2}\right)-x^{2}\right)\left(1-3x^{2}\right)^{\frac{3}{2}}+\left(2x^{2}-1\right)\times \left(3\left(3-x^{2}\right)\right)^{\frac{3}{2}}\right)}{\left(\left(1-3x^{2}\right)\left(3-x^{2}\right)\right)^{\frac{3}{2}}}$$