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Unformatted text preview: the answer, represented by the derivative . To take the derivative of a complicated function you may need to use the product rule , the quotient rule or the chain rule . Implicit differentiation will allow you to take derivatives of relations. Derivatives are useful for answering questions about velocity and acceleration, linear approximation, maxima and minima, and related rates. The first and second derivatives are also useful when graphing functions. Integral calculus begins by finding a function that corresponds to a given derivative. These are called antiderivatives , which lead to integrals . A technique that will help you integrate some functions is u-substitution , which reverses the chain rule. Integrals are useful for determining velocity and position when given acceleration. The second question that calculus asks, What is the area under a curve? is answered by the fundamental theorem of calculus ....
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- Spring '10