Check this visually with the mapping diagram **CDD.DEMD.0**

CDD.DEMD.0

Download GeoGebra fileCDD.DEMD.0

Now that we have found the derivative for $\exp(x)=e^x$ at $ x =0$, it is time to think of this derivatives more generally. In Theorem CCD.DEX we state these results.

Details for the proofs can be found in most calculus texts or in

What is missing in other proofs are visualizations using mapping diagrams. These are provided with the mapping diagram CCD.DEMD.

Theorem CCD.DEX. $D_x\exp(x) = \exp'(x) =\exp(x)$.

CDD.DEMD |

The Steps refer to the four steps for finding a derivative in CCD.DDN4S.