$\frac{\text{d}y}{\text{d}x}=x^2$  

 $\frac{\text{d}y}{\text{d}x}=1$  

 $\frac{\text{d}y}{\text{d}x}=0$  

 $\frac{\text{d}y}{\text{d}x}=\frac{1}{x}$  

 $\frac{\text{d}y}{\text{d}x}=7x^6$  

 $\frac{\text{d}y}{\text{d}x}=x^6$  

 $\frac{\text{d}y}{\text{d}x}=7x^7$  

 $\frac{\text{d}y}{\text{d}x}=\frac{x^6}{7}$  

 $\frac{\text{d}y}{\text{d}x}=6x^{-2}$  

 $\frac{\text{d}y}{\text{d}x}=6x^{-4}$  

 $\frac{\text{d}y}{\text{d}x}=2x^{-4}$  

 $\frac{\text{d}y}{\text{d}x}=-6x^{-4}$