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 = nxn-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. More SliderMath   Copyright © All Rights Reserved.
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