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About 37 results
  • 6.5: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT301_Calculus_I/06%3A_professor_playground/6.05%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.8: Derivatives of Inverse and Logarithmic Functions
    https://math.libretexts.org/Courses/College_of_Southern_Nevada/Calculus_(Hutchinson)/03%3A_Differentiation/3.08%3A_Derivatives_of_Inverse_and_Logarithmic_Functions
    For E(x)=ex,E′(0)=1. Thus, we have E′(x)=ex. (The value of B′(0) for an arbitrary function of the form B(x)=bx,b>0, will be derived later.) We can use a formula to find the de...For E(x)=ex,E′(0)=1. Thus, we have E′(x)=ex. (The value of B′(0) for an arbitrary function of the form B(x)=bx,b>0, will be derived later.) We can use a formula to find the derivative of y=lnx, and the relationship logbx=lnxlnb allows us to extend our differentiation formulas to include logarithms with arbitrary bases.
  • 3.9: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/03%3A_Derivatives/3.09%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.5: Derivatives of Exponential and Hyperbolic Functions
    https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus/03%3A_Discovering_Derivatives/3.05%3A_Derivatives_of_Exponential_and_Hyperbolic_Functions
    This section covers the differentiation of exponential and hyperbolic functions. It explains how to find derivatives of exponential functions, focusing on base e, and explores the rules for differ...This section covers the differentiation of exponential and hyperbolic functions. It explains how to find derivatives of exponential functions, focusing on base e, and explores the rules for differentiating hyperbolic functions like sinh, cosh, and others. The section provides examples to apply these differentiation techniques to various types of functions and shows their connections to real-world applications.
  • 1.1: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Coastline_College/Math_C185%3A_Calculus_II_(Everett)/01%3A_Calculus_I_Review/1.01%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.5: Derivatives of Exponential and Hyperbolic Functions
    https://math.libretexts.org/Courses/Cosumnes_River_College/Math_400%3A_Calculus_I_-_Differential_Calculus/03%3A_Discovering_Derivatives/3.05%3A_Derivatives_of_Exponential_and_Hyperbolic_Functions
    This section covers the differentiation of exponential and hyperbolic functions. It explains how to find derivatives of exponential functions, focusing on base e, and explores the rules for differ...This section covers the differentiation of exponential and hyperbolic functions. It explains how to find derivatives of exponential functions, focusing on base e, and explores the rules for differentiating hyperbolic functions like sinh, cosh, and others. The section provides examples to apply these differentiation techniques to various types of functions and shows their connections to real-world applications.
  • 3.8: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Seeburger)/03%3A_Derivatives/3.08%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 1.4: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Hope_College/Math_126_-_Calculus_with_Review_II/01%3A_Inverse_Functions/1.04%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.9: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Bookshelves/Calculus/Calculus_(OpenStax)/03%3A_Derivatives/3.09%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.9: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Everett)/03%3A_Derivatives/3.09%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.
  • 3.8: Derivatives of Exponential and Logarithmic Functions
    https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_I_(Reed)/03%3A_Derivatives/3.08%3A_Derivatives_of_Exponential_and_Logarithmic_Functions
    In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling popu...In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in modeling population growth and the decay of radioactive materials. Logarithmic functions can help rescale large quantities and are particularly helpful for rewriting complicated expressions.

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