what are power rules
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It can be positive, a negative, it could be-- it does not have to be an integer. The power rule tells us that the derivative of this, f prime of x, is just going to be equal to n, so you're literally bringing this out front, n times x, and then you just decrement the power, times x to the n minus 1 power.
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Step-by-step explanation:
You are probably already familiar with the definition of a derivative, limit is delta x approaches 0 of f of x plus delta x minus f of x, all of that over delta x. ... So the power rule just tells us that if I have some function, f of x, and it's equal to some power of x, so x to the n power, where n does not equal 0.
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