Resumen de Derivadas - Soluciones
Solución 1
\[f(x) = 8x^{4}\]
\[f'(x) = \boxed{32x^{3}}\]
\[f'(x) = \boxed{32x^{3}}\]
Solución 2
\[f(x) = \sqrt{x}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
\[f'(x) = \boxed{\frac{1}{2 \sqrt{x}}}\]
Solución 3
\[f(x) = 5x^{\frac{2}{3}}\]
\[f'(x) = \boxed{\frac{10}{3}x^{\frac{-1}{3}}}\]
\[f'(x) = \boxed{\frac{10}{3}x^{\frac{-1}{3}}}\]
Solución 4
\[f(x) = -7x^{3} - x\]
\[f'(x) = \boxed{-21x^{2} - 1}\]
\[f'(x) = \boxed{-21x^{2} - 1}\]
Solución 5
\[f(x) = x^{4} -5x + 1\]
\[f'(x) = \boxed{4x^{3} -5}\]
\[f'(x) = \boxed{4x^{3} -5}\]
Solución 6
\[f(x) = 8x^{5} -6x^2 + 8x\]
\[f'(x) = \boxed{40x^{4} -12x + 8}\]
\[f'(x) = \boxed{40x^{4} -12x + 8}\]