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    Derivatives and Integrals of Exp and Log Functions

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    1. Find the derivatives for the following functions ("^" means "to the power of", sorry I can't do double exponents on my keyboard) :

    a. f(X) = 100e10X

    b. f(X) = e(10X-5)

    c. f(X) = e^X3

    d. f(X) = 2X2e^(1- X2)

    e. f(X) = 5Xe(12- 2X)

    f. f(X) = 100e^(X3 + X4)

    g. f(X) = e^(200X - X2 + X100)

    2. Find the derivatives for the following functions:

    a. f(X) = ln250X

    b. f(X) = ln(20X-20)

    c. f(X) = ln(1- X2)

    d. f(X) = ln(5X + X-1)

    e. f(X) = Xln(12- 2X)

    f. f(X) = 2Xln(X3 + X4)

    g. f(X) = ln(200X - X2 + X100)

    3. Find the indefinite intgrals for the following functions

    a. f(X) = e6X

    b. f(X) = e(5X-5)

    c. f(X) = 5eX

    d. f(X) = 1/(1+X)

    e. f(X) = 5/X

    4. Find the definite intgrals for the following functions

    a. f(X) = e2X over the interval [2, 4]

    b. f(X) = 2eX over the interval [0, 2]

    d. f(X) = 2/(2+X) over the interval [2, 5]

    e. f(X) = 10/X over the interval [3, 10]

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    Solution Summary

    Twenty-four problems involving Derivatives and Integrals of Exponential and Logarithmic Functions are solved. The response received a rating of "5" from the student who originally posted the question.