Question Type 1: Calculating derivatives of complicated functions Exercises

Differentiate $f(x)=e^{2x}$

Differentiate $f(x)=\ln\bigl(x^2+1\bigr)$

Differentiate $f(x) = \frac{4x^{-3}}{9} + 3\ln x - \sin x$

Differentiate $f(x)=x^2e^{-x}$

Differentiate $f(x)=\displaystyle\frac{\ln x}{x^2}$

Differentiate $f(x)=\sin^2x\,e^x$

Differentiate $f(x)=\displaystyle\frac{e^{3x}}{x}$

Differentiate $f(x)=3^x\ln x$

Differentiate $f(x)=\arctan\bigl(x^3\bigr)$

Differentiate $f(x)=e^{2x}\sin(3x)$

Differentiate $f(x)=\ln(\sin x)$

Differentiate $f(x)=x^x$