\[c'\]

\[x'\]

\[ (x^2)'\]

\[ (x^3)'\]

\[ (x^k)'\]

\[(\frac{1}{x})'\]

\[ (\sqrt{x})'\]

\[(\lambda\cdot u)'\]

\[(u+v)'\]

\[(u\cdot v)'\]

\[\Big(\dfrac{1}{u}\Big)'\]

\[\Big(\dfrac{u}{v}\Big)'\]

\[(u\circ v)'\]

\[(\sqrt{u})'\]

\[(u^k)'\]

\[ (\sin{x})'\]

\[ (\cos{x})'\]

\[ (\tan{x})'\]

\[(\sin{u})'\]

\[(\cos{u})'\]

\[(\tan{u})'\]

\[ (e^x)'\]

\[ (ln{x})'\]

\[(e^u)'\]

\[(\ln{u})'\]