- A derivative in Calculus can be described as an instantaneous rate of change.

The slope of a curve at a point P is an example of a derivative.

The speed of a moving particle at a time T is an example of a derivative.

- A sample curve or motion can be represented by a relation such as y=x

The derivative corresponding to y=x

The three derivative symbols dy/dx, y' and f '(x) are in common use by various authors.

- Similarly, the relation represented as s=t

has it's corresponding derivative represented as ds/dt = 3t

- A derivative power rule is used to get dy/dx = 2x from the given relation y=x

The same derivative power rule is used to get ds/dt = 3t

- The following 3 derivative rules are used in this game, with n representing a positive integer.

1) In general, the derivative power rule for y=x

For example, the derivatives of y=x

2) In general, the derivative constant rule for y=c yields the derivative dy/dx = 0.

For example, the derivatives of y=3 and s(t)=8 are respectively dy/dx=0 and s'(t)=0.

3) The derivative rule for a constant times a power such as y=cx

For example, the derivatives of y=8x

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

- Your Game Score is reduced by the number of butterfly 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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