IB Mathematics Applications & Interpretation Question Type 1: Calculating Derivatives of Complicated Functions Exercises

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

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

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

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

Differentiate $f(x)=\arctan (x^3)$.

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

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

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

Find $f^{\prime }(x)$ for $f(x)=\frac{4x^{-3}}{9}+3\ln x-\sin x$.

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

Differentiate $f(x)=x^x$

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