Calculus: Non standard differentials

Difficult

Q1) Find the derivative of $\left( x ^{2} + 1\right) ^{-2}$
Q1) Find derivative of $\left( x ^{2} + 1\right) \ln x$
Q1) Find derivative of $\frac{3 x ^{2} + 2}{\sin x}$
Q2) Find the derivative of $\left( 4 x ^{3} + 3 x ^{2}\right) ^{6}$
Q2) Find derivative of $\left( x ^{2} + 1\right) \cos x$
Q2) Find derivative of $\frac{3 x ^{2} + 2}{\ln x}$
Q3) Find the derivative of $\left( 4 x ^{3} + 3 x ^{2}\right) ^{8}$
Q3) Find derivative of $\left( 4 x ^{3} + 5\right) \ln x$
Q3) Find derivative of $\frac{x ^{2} + 1}{\cos x}$
Q4) Find the derivative of $\left( x ^{2} + 1\right) ^{3}$
Q4) Find derivative of $\left( 3 x ^{2} + 2\right) \sin x$
Q4) Find derivative of $\frac{4 x ^{3} + 5}{\ln x}$
Q5) Find the derivative of $\left( x ^{2} + 1\right) ^{-5}$
Q5) Find derivative of $\left( x ^{2} + 1\right) \sin x$
Q5) Find derivative of $\frac{x ^{2} + 1}{\sin x}$