Resumen - Soluciones
Solución 1
\[f(x) = x^{6}\]
\[f'(x) = \boxed{6x^{5}}\]
\[f'(x) = \boxed{6x^{5}}\]
Solución 2
\[f(x) = \sqrt{x}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
Solución 3
\[f(x) = \sqrt[4]{x}\]
\[f'(x) = \boxed{\frac{1}{4 \sqrt[4]{x^3}}}\]
\[f'(x) = \boxed{\frac{1}{4 \sqrt[4]{x^3}}}\]
Solución 4
\[f(x) = x^{\frac{1}{2}}\]
\[f'(x) = \boxed{\frac{1}{2}x^{\frac{-1}{2}}}\]
\[f'(x) = \boxed{\frac{1}{2}x^{\frac{-1}{2}}}\]
Solución 5
\[f(x) = 6x^{6} + 4x^{2} + 5x\]
\[f'(x) = \boxed{36x^{5} + 8x + 5}\]
\[f'(x) = \boxed{36x^{5} + 8x + 5}\]
Solución 6
\[f(x) = -x^{4} -3x^{2} + x\]
\[f'(x) = \boxed{-4x^{3} -6x + 1}\]
\[f'(x) = \boxed{-4x^{3} -6x + 1}\]