A.  $3x^2-3x\Delta x+{\left(\Delta x\right)}^3$

B.  $3x^2+3x\Delta x-{\left(\Delta x\right)}^2$

C.  $3x^2+3x\Delta x+{\left(\Delta x\right)}^3$

D.  $3x^2+3x\Delta x+{\left(\Delta x\right)}^2$ 

A.  ${\left(∆x\right)}^2-2∆x-1$ 

B.  ${\left(∆x\right)}^2+2∆x+2$ 

C.  ${\left(∆x\right)}^2+2∆x$  

D.  ${\left(∆x\right)}^2-2∆x$ 

A.  $\underset{\Delta x\to 0}{\lim }\left(\left(\Delta x^2\right)+2x\Delta x-\Delta x\right).$

B.  $\underset{\Delta x\to 0}{\lim }\left(\Delta x+2x-1\right).$

C.  $\underset{\Delta x\to 0}{\lim }\left(\Delta x+2x+1\right).$

D.  $\underset{\Delta x\to 0}{\lim }\left(\left(\Delta x^2\right)+2x\Delta x+\Delta x\right).$ 

A.  $\underset{∆x\to 0}{\lim }\left({\left(∆x\right)}^2+2x∆x-∆x\right)$ 

B.  $\underset{∆x\to 0}{\lim }\left(∆x+2x-1\right)$ 

C.  $\underset{∆x\to 0}{\lim }\left(∆x+2x+1\right)$ 

D.  $\underset{∆x\to 0}{\lim }\left({\left(∆x\right)}^2+2x∆x+∆x\right)$