Derivative of an Inverse Tangent Function

Question

Differentiate $$y = \arctan\left(\sqrt{\frac{2*x-1}{x+3}}\right).$$

Accepted Answer

$$\frac{7}{2*(x+3)*(3*x+2)}*\left(\frac{2*x-1}{x+3}\right)^{-1/2}$$

Answer

$$\frac{7}{2*(x+3)^{2}*(3*x+2)}*\left(\frac{2*x-1}{x+3}\right)^{-1/2}$$

Answer

$$\frac{7*(x+3)}{2*(3*x+2)}*\left(\frac{2*x-1}{x+3}\right)^{-1/2}$$

Answer

$$\frac{7}{2*(x+3)*(3*x+2)}*\left(\frac{2*x-1}{x+3}\right)^{1/2}$$

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