3.4.2 - Logarithmic Functions
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Practice Questions
Test your understanding with targeted questions
What is the derivative of ln(x)?
💡 Hint: Think about the base of the logarithm.
Find the derivative of log_10(x).
💡 Hint: Remember to include the natural log of the base.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the derivative of ln(x)?
💡 Hint: Think about how the function answers changes as x increases.
The derivative of log_a(x) is determined by which of the following?
💡 Hint: Consider how the base affects the slope.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Find the derivative of f(x) = ln(3x^2 + 2) and identify its critical points.
💡 Hint: Set the numerator to zero to find critical values.
If the function y = log_4(x^2 + 1), determine y' and analyze its behavior at x = 1.
💡 Hint: Remember to apply the product and chain rules effectively.
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