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![]() ![]() It doesn't matter which way is chosen as long as the method is applied correctly. The chain rule is used to calculate the derivative of a composite function. Some people find it easier to go one way or the other. We get the same answer either way, so it doesn't matter which method we use. Similarly, the chain rule makes it easy in the case that there are only $x$s in the denominator since this is "some function of $x$" raised to "some negative power".Ĭonsider $g(x) = \frac$$. ![]() If there are $x$s only in the denominator, then the quotient rule will be very easy the lack of $x$s in the numerator makes the derivative of the numerator especially simple. AP CALCULUS AB/BC: Chain Rule WORKSHEET © Name Differentiate the following functions. ![]() Topics youll need to know to pass the quiz. In this calculus worksheet, students are given 21 short-answer problems regarding the chain rule, derivatives, rate of change and completing tables. If there are $x$s only in the numerator, then there is no quotient and the result is straightforward. The intent of these problems is for instructors to use them for assignments and having solutions/answers easily available defeats that purpose. The power rule combined with the Chain Rule This is a special case of the Chain Rule, where the outer function f is a power function. This quiz and corresponding worksheet will help you gauge your understanding of the chain rule in calculus. If there are $x$s in both places, then you (probably) will prefer to use the quotient rule. A convenient feature of mathematics is that it works no matter which (valid) method you use.įor this kind of problem, it is easiest to ask yourself, "how many 'places' is there an $x$?" By "places", I mean "numerator and denominator". ![]()
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