Derivative Chain Rule for Composite Functions     Math Help Fun     Game Tips: - A composite function such as y = (x3+x4)20 represents a function of a function.    In this case, y is a function of g. This means y = f(g) = g20 where g itself is a function of x ,  g = x3+x4. - The derivative Chain Rule states that the derivative of y = f(g) is  dy/dx = (dy/dg)(dg/dx), which says the   derivative of y with respect to x=(derivative of y with respect to g)times(derivative of g with respect to x).   Consequently y= (x3+x4)20 has the derivative dy/dx= (20g19)(3x2+4x3) which equals (20(x3+x4)19)(3x2+4x3) - Example 2: the unsimplified derivative of y= (x5-2x)-7 is  dy/dx = (-7(x5-2x)-8)(5x4-2) - Note: This game also uses the derivative Power rule for y=xn which gives the derivative  dy/dx = nxn-1. - 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 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. More SliderMath   Copyright © All Rights Reserved.
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