Differentiate the following functions of $x$.
 Question i $\left(2x+3\right)^{2}$ Solution Question ii $\left(2x+5\right)^{-1}$ Solution Question iii $\sqrt[3]{\frac{1}{x}}$ Solution Question iv $\sqrt{2x^{3}}$ Question v $\frac{1}{3x+2}$ Question vi $\frac{1}{\left(2x-1\right)^{\frac{2}{3}}}$ Question vii $\left(x^{2}+3\right)^{4}$ Question viii $\frac{1}{3x^{2}+2}$ Question ix $\sqrt{2x^{3}-3}$ Question x $\frac{3}{\sqrt{2+x^{2}}}$ Question xi $\frac{1}{1+\sqrt{x}}$ Question xii $\frac{1}{\left(1+\sqrt{x}\right)^{2}}$ Question xiii $\left(1-\frac{1}{x}\right)^{3}$ Question xiv $\left(\frac{x}{2}-\frac{2}{x}\right)^{5}$ Question xv $\left(\frac{2}{\sqrt{x}}-1\right)^{-1}$ Question xvi $\frac{1}{\left(x^{2}-\sqrt{x}\right)^{2}}$ Question xvii $\frac{1}{x+\sqrt{x}}$ Question xviii $\sqrt{x-2} \cdot \left(x^{2}+3\right)$ Question xix $\frac{x}{\sqrt{1+x^{2}}}$ Question xx $\frac{1-x^{2}}{1+x^{2}}$ Question xxi $\left(x-1\right)\sqrt{x^{2}+1}$ Question xxii $\frac{2x^{2}-x^{3}}{\sqrt{x^{2}-1}}$ Question xxiii $\frac{1-\sqrt{x}}{1+\sqrt{x}}$ Question xxiv $\sqrt{\frac{1+x}{2+x}}$