Check this visually with the mapping diagram **CDD.DSMD0**

CDD.DSMD0

Download GeoGebra fileCDD.DSMD0

Check this visually with the mapping diagram **CDD.DCMD0**

CDD.DCMD0

Now that we have found the derivatives for sine and cosine at $ x =0$, it is time to think of these derivatives more generally. In Theorem CCD.DSC 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.DSCMD.

Theorem CCD.DSC. i) $D_x\sin(x) = \sin'(x) =\cos(x)$.

ii) $D_x\cos(x) = \cos'(x) = -\sin(x)$

CDD.DSCMD |

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