Reglas de derivación raíz y potencia negativa

$$f'\left(x\right)=\frac{4}{2\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{2}{\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{1}{2\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{8}{2\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{12}{2\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{24}{2\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{12}{\sqrt[]{x}}$$  

$$f'\left(x\right)=\frac{6}{\sqrt[]{x}}$$  

$$f'\left(x\right)=4\ x^{-6}$$  

$$f'\left(x\right)=\frac{4}{x^6}$$  

$$f'\left(x\right)=\frac{20}{5}x^{-6}$$  

$$f'\left(x\right)=\frac{4}{x^4}$$  

$$f'\left(x\right)=\frac{6}{5}x^{-4}$$  

$$f'\left(x\right)=\frac{6}{5x^4}$$  

$$f'\left(x\right)=\frac{-6}{5x^4}$$  

$$f'\left(x\right)=\frac{5}{x^6}$$  

$$f'\left(x\right)=\frac{2}{\sqrt[]{x}}-\frac{10}{x^3}$$  

$$f'\left(x\right)=\frac{2}{\sqrt[]{x}}+\frac{10}{x^3}$$  

$$f'\left(x\right)=\frac{2}{\sqrt[]{x}}-\frac{10}{x^2}$$  

$$f'\left(x\right)=\frac{4}{2\sqrt[]{x}}-\frac{10}{x^3}$$