- 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=(x

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

- This game uses the Product Rule dy/dx = (u)(dv/dx) + (du/dx)(v)

and also requires 4 other basic derivative rules:

the Power Rule, the Sine Rule, the Cosine Rule, and the Constant times a Function Rule.

1) The derivative Power Rule for y=x

For example, the derivatives of y=x

2) The derivative Sine Rule for y=sin(x) yields the derivative dy/dx = cos(x).

This means that the derivative of y=sin(x) is y'=cos(x).

3) The derivative Cosine Rule for y=cos(x) yields the derivative dy/dx =-sin(x).

This means that the derivative of y=cos(x) is y'=-sin(x).

4) The derivative rule for a Constant times a Function such as y=cu yields the derivative dy/dx = c(du/dx).

For example, the derivatives of y=8x

- Three more examples of the Product Rule y'=uv'+u'v follow:

The derivative of y=(x

The unsimplified derivative of y=2x

The derivative of y=(2sin(x))(8cos(x)) is y'= -16sin(x)sin(x)+16cos(x)cos(x).

which simplifies to y'= -16sin

- Your Score Report appears after you have made 8 choices.

- Your Game Score is reduced by the number of fish hits.

- To slow the game speed repeat tap/click on the word

- To increase the game speed repeat tap/click on the word Math.

- Speed can also be adjusted with a keyboard's - and + keys.

- Refresh/Reload the web page to restart the game.

- Adjust the sound level of media on your device.

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