Calculus Derivative Product Rule with Power Rule. Fun Math Help Teaching Games by SliderMath Arithmetic Literacy.

Derivative Product Rule Practice with Power Rule     Math Help Fun     Game Tips:

- The derivative Product Rule is used on the product of two relations such as the product y=uv.
   In general, the Product Rule states that the derivative of the product function y=uv is    y'=uv'+u'v.

- For example, the unsimplified derivative of y=(x³x⁵) is    y'=(x³)(5x⁴)+(3x²)(x⁵).

- This game uses the Product Rule dy/dx = (u)(dv/dx) + (du/dx)(v) and also the Power & Sum Rules.
   Note that the symbols dy/dx, y' and f'(x) all represent the same derivative of y=f(x).

- The derivative Power Rule for y=xⁿ yields the derivative dy/dx = nx^n-1.
   For example, the derivatives of y=x⁴ and s(t)=t⁶ are respectively dy/dx=4x³ and s'(t)=6t⁵.

- The Sum Rule states that the derivative of the sum function    y = g + h is    y' = g' + h'.
   For example, the derivative of    y = (x⁷ + x⁵) is    y' = (7x⁶) + (5x⁴).

- Here is another example of the Product Rule y'=uv'+u'v :
   The unsimplified derivative of y=(x³)(x⁷ + x⁵) is    y'= (x³)(7x⁶ + 5x⁴) + (3x²)(x⁷ + x⁵).

- The score report automatically appears after you have made 10 choices.
- The Math score is based on your choices only and does not count the snowflake hits.
- The Game score is reduced by the number of snowflake 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.