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 51 - 60 of 94
  • 51.

    Logarithms with Arbitrary Bases Help

    Introduction to Logarithms with Arbitrary Bases If you review the first few paragraphs of Section 1, you will find an intuitively appealing definition of the logarithm to the base 2: log

    Source: McGraw-Hill Professional
  • 52.

    Logarithm and Exponential Graphing Help

    Logarithm and Exponential Graphing If a > 0 and f(x) = log a x, x > 0, then

    Source: McGraw-Hill Professional
  • 53.

    Logarithmics Differentiation Help

    Logarithmics Differentiation We next show how to use the logarithm as an aid to differentiation. The key idea is that if F is a function taking positive values then we can exploit the formula

    Source: McGraw-Hill Professional
  • 54.

    Radioactive Decay Help

    Introduction to Radioactive Decay Another natural phenomenon which fits into exponential growth and decay is radioactive decay . Radioactive material, such as C 14 (radioactive carbon), has a ...

    Source: McGraw-Hill Professional
  • 55.

    Compound Interest Help

    Introduction Compound Interest Yet a third illustration of exponential growth is in the compounding of interest. If principal P is put in the bank at p percent simple interest per year then after one year the account has

    Source: McGraw-Hill Professional
  • 56.

    Other Inverse Trigonometric Functions Help

    Introduction to Other Inverse Trigonometric Functions The most important inverse trigonometric functions are Sin −1, Cos −1, and Tan ...

    Source: McGraw-Hill Professional
  • 57.

    The Method of Cylindrical Shells Help

    Introduction to The Method of Cylindrical Shells Our philosophy will now change. When we divide our region up into vertical strips, we will now rotate each strip about the y -axis instead of the x -axis. Thus, instead of generating a disk with ...

    Source: McGraw-Hill Professional
  • 58.

    Surface Area Help

    Introduction to Surface Area Let f ( x ) be a non-negative function on the interval [ a, b ]. Imagine rotating the graph of f about the x -axis. This procedure will generate a surface of revolution, as shown in Fig. ...

    Source: McGraw-Hill Professional
  • 59.

    Simpson's Rule Help

    Introduction to Simpson's Rule Simpson’s Rule takes our philosophy another step: If rectangles are good, and trapezoids better, then why not approximate by curves? In Simpson’s Rule, we approximate by parabolas.

    Source: McGraw-Hill Professional
  • 60.

    Derivative of Exponential Help

    Calculus Properties of the Exponential Now we want to learn some “calculus properties” of our new function exp( x ). These are derived from the standard formula for the derivative of an inverse, as in Section 2.5.1. ...

    Source: McGraw-Hill Professional
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