Sunday, January 30, 2011

Terrio's Reflection

Throwback time. I'll review something that I randomly flip to in my binder today....

-Implicit functions :

Implicit functions are not solved for y .

-Explicit functions :

Explicit functions are solved for y .

-Taking the derivative:

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 . When solving all you do is take the derivative of the whole equation . After you take the derivative you solve for dy / dx or y ' . 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 ) .

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