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Is the logarithmic function , where  an increasing or decreasing function, or neither? Explain using .

Question

Is the logarithmic function , where  an increasing or decreasing function, or neither? Explain using .
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Solution 1

The logarithmic function is an increasing function. Here's why:

  1. The derivative of the logarithmic function is 1/x.

  2. For all x > 0, the derivative 1/x is greater than 0.

  3. According to the first derivative test, if the derivative of a function is greater than 0 for all x in its domain, the Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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