Reflection #8 Terrio

This week we learned how to solve implicit derivatives :

Implicit functions means it's not solved for y and explicit functions means it is solved for y. When you take the derivative of y you have to put either dy / dx or y' after every y. For x you just take the derivative like normal and constants are always 0.

So when solving all you really do is take the derivative of the whole equation. After you take the derivative you just solve for dy / dx or y'. And last you simplify your answer if possible.

Ex:

3 x+2 y = 6

= 3 x+2 y dy / dx = 0

= 2 y dy / dx = -3 x

= dy / dx = - ( 3 x / 2 y )

The answer is dy / dx = - ( 3 x / 2 y ).