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In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.

Study Guides

showing 11 - 20 of 94
  • 11.

    Continuity Help

    Introduction to Continuity Let f be a function whose domain contains the interval (a, b). Assume that c is a point of (a, b). We say that the function f is continuous at c if

    Source: McGraw-Hill Professional
  • 12.

    The Derivative Help

    Introduction to The Derivative Suppose that f is a function whose domain contains the interval (a , b). Let c be a point of (a , b). If the limit

    Source: McGraw-Hill Professional
  • 13.

    Rules for Calculating Derivatives Help

    Introduction to Rules for Calculating Derivatives Calculus is a powerful tool, for much of the physical world that we wish to analyze is best understood in terms of rates of change. It becomes even more powerful when we can find some simple rules that enable us to ...

    Source: McGraw-Hill Professional
  • 14.

    Foundations of Calculus Practice Test

    Review the following concepts if needed: Limits Help

    Source: McGraw-Hill Professional
  • 15.

    Graphing of Functions Help

    Introduction to Graphing of Functions We know that the value of the derivative of a function f at a point x represents the slope of the tangent line to the graph of f at the point ( x , f(x) ). If that slope is ...

    Source: McGraw-Hill Professional
  • 16.

    Maximum/Minimum Problems Help

    Introduction to Maximum/Minimum Problems One of the great classical applications of the calculus is to determine the maxima and minima of functions. Look at Fig. 3.9. It shows some (local) maxima and (local) minima of the function f .

    Source: McGraw-Hill Professional
  • 17.

    Related Rates Help

    Introduction to Related Rates If a tree is growing in a forest, then both its height and its radius will be increasing. These two growths will depend in turn on (i) the amount of sunlight that hits the tree, (ii) the amount of nutrients in the soil, (iii) the ...

    Source: McGraw-Hill Professional
  • 18.

    Falling Bodies Help

    Introduction to Falling Bodies It is known that, near the surface of the earth, a body falls with acceleration (due to gravity) of about 32 ft/sec 2 . If we let h ( t ) be the height of ...

    Source: McGraw-Hill Professional
  • 19.

    Applications of the Derivative Practice Test

    Review the following concepts if needed: Graphing of Functions Help

    Source: McGraw-Hill Professional
  • 20.

    The Integral Practice Test

    Review the following concepts if needed: Antiderivatives Help

    Source: McGraw-Hill Professional

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