Resumen - Soluciones
Solución 1
\[f(x) = 5\]
\[f'(x) = \boxed{0}\]
\[f'(x) = \boxed{0}\]
Solución 2
\[f(x) = \sqrt{x}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
Solución 3
\[f(x) = \sqrt[3]{x}\]
\[f'(x) = \boxed{\frac{1}{3 \sqrt[3]{x^2}}}\]
\[f'(x) = \boxed{\frac{1}{3 \sqrt[3]{x^2}}}\]
Solución 4
\[f(x) = x^{\frac{1}{3}}\]
\[f'(x) = \boxed{\frac{1}{3}x^{\frac{-2}{3}}}\]
\[f'(x) = \boxed{\frac{1}{3}x^{\frac{-2}{3}}}\]
Solución 5
\[f(x) = 7\sqrt{x}\]
\[f'(x) = \boxed{\frac{7}{2 \sqrt{x}}}\]
\[f'(x) = \boxed{\frac{7}{2 \sqrt{x}}}\]
Solución 6
\[f(x) = -3x^{4} -6x + 3\]
\[f'(x) = \boxed{-12x^{3} -6}\]
\[f'(x) = \boxed{-12x^{3} -6}\]