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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the derivative of ln(x)?
💡 Hint: Think about the base of the logarithm.
Question 2
Easy
Find the derivative of log_10(x).
💡 Hint: Remember to include the natural log of the base.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the derivative of ln(x)?
- 1/x
- ln(x)
- x
💡 Hint: Think about how the function answers changes as x increases.
Question 2
The derivative of log_a(x) is determined by which of the following?
- 1/(x * ln(a))
- ln(x)
- x/ln(a)
💡 Hint: Consider how the base affects the slope.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation