Derivative Sum Rule Practice with Powers     Math Help Fun     Game Tips:

- The derivative Sum Rule is used on a sum of terms such as    y = u + v.
   In general, the Sum Rule states that the derivative of the sum function    y = u + v  is    y' = u' + v'.
   This rule also includes the derivative of the function    y = u - v  , namely    y' = u' - v'.

- For example, the derivative of    y = (x3 + x5)  is    y' = (3x2) + (5x4).

- The derivative of    y = (2x3 + x-5)  is    y' = 6x2 - 5x-6.

- This game also uses the following two rules:

   1) The Power Rule for y=xn yields the derivative  dy/dx = nxn-1.
     For example, the derivatives of y=x4 and s(t)=t-4 are respectively  dy/dx=4x3 and s'(t)=-4t-5.

   2) The derivative rule for a Constant times a Function such as y=cu yields the derivative dy/dx = c(du/dx).
      For example, the derivative of y=8x4 is y'=32x3.

- Note that the three symbols  dy/dx,  y' and  f'(x)  all represent the same derivative of y=f(x).


- The score report automatically appears after you have made 15 choices.
- The Math score is based on your choices only and does not count the fish hits.
- The Game score is reduced by the number of fish hits.
- The game can be played using the mouse by itself or using the keyboard by itself.
- If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.
- Adjust the game's speed by pressing the + or - key repeatedly.
- Refresh/Reload the webpage to start over again.




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