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Calculus 1 · Chapter 4 · Lesson 4.3 · Printable PDF

Derivatives of Logarithms and Logarithmic Differentiation Worksheet with Answer Key

6 problems on derivatives of logarithms and logarithmic differentiation. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Derivatives of logarithms and logarithmic differentiation worksheet with answer key - Calculus 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Find each derivative on the function's domain.
    y = \ln(5x - 2)f(x) = \log_2(4x + 1)g(x) = \sqrt{x}\,\ln xy = \ln|x^2 - 9|h(t) = \ln\left(1 + e^{2t}\right)
  2. Find the x-intercept of the graph of y = -2(6x - 11), and the equation of the tangent line to the graph at that point.
  3. A made-up model says that Jenny's sorting program needs T = n_2 n microseconds to sort a list of n items.
  4. Let y = x²(x - 3)² e^-x.
  5. Let y = x^ x for x > 0.
  6. Liam writes:

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Derivatives of logarithms and logarithmic differentiation: the lesson ›

More Chapter 4 worksheets: Chain rule, implicit differentiation and inverse functions