So far, we do not have a rule for taking the derivative of a quotient. Therefore, the only thing we can do is simplify the thing in the hope of getting rid of all fractions:
x5 | = | x3 |
. |
Note that this is still a fraction, so we write it in exponent form
x3 |
= | x-3 |
Since we do have a rule -- the power rule -- for finding the derivative of x raised to a power, we can use the rule to give us the answer:
dx |
(x-3) | = | -3x-4 | = | x4 |
. |
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