Implicit functions : Are not solved for y . Explicit functions : Are 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 . 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 ' . 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 ) .
No comments:
Post a Comment