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Calculus: Logarithms and Exponentials Help & Problems

Find study help on logarithms and exponentials for calculus. Use the links below to select the specific area of logarithms and exponentials you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn logarithms and exponentials for calculus.

Study Guides

showing 1 - 10 of 14
  • 1.

    Derivative of Logarithm Function Help

    The Logarithm Function and the Derivative Now you will see why our new definition of logarithm is so convenient. If we want to differentiate the logarithm function we can apply the Fundamental Theorem of Calculus:

    Source: McGraw-Hill Professional
  • 2.

    Exponential Basics Help

    Exponential Basics Examine Fig. 6.4, which shows the graph of the function f(x) = ln x, x > 0.

    Source: McGraw-Hill Professional
  • 3.

    Exponentials with Arbitrary Bases Help

    Introduction to Exponentials with Arbitrary Bases We know how to define integer powers of real numbers. For instance

    Source: McGraw-Hill Professional
  • 4.

    Derivative and Integral of Logarithm Help

    Introduction to Derivative and Integral of Logarithm We begin by noting these facts: If a > 0 then

    Source: McGraw-Hill Professional
  • 5.

    Exponential Growth and Decay Help

    Introduction to Exponential Growth and Decay Many processes of nature and many mathematical applications involve logarithmic and exponential functions. For example, if we examine a population of bacteria, we notice that the rate at which the population grows is ...

    Source: McGraw-Hill Professional
  • 6.

    Transcendental Functions Practice Test

    Review the following concepts if needed: Logarithm Basics Help Derivative of Logarithm ...

    Source: McGraw-Hill Professional
  • 7.

    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
  • 8.

    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
  • 9.

    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
  • 10.

    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
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