Calculus Derivative Sum Rule with Powers Unsimplified. Fun Math Help Teaching Games SliderMath Arithmetic Literacy.

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 = nx^n-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.