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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Differentiate \( f(x) = 4^x \).
💡 Hint: Use the general exponential derivative formula.
Question 2
Easy
What is the derivative of \( \ln(10) \)?
💡 Hint: Remember that constants have no change.
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 \( e^x \)?
- e^x
- 0
- ln(x)
💡 Hint: Recall the property of the natural exponential function.
Question 2
True or False: The derivative of \( \ln(x) \) is \( \frac{1}{x} \).
- True
- False
💡 Hint: Consider the definition of the natural logarithm.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Differentiate the function f(x) = e^(x^2 + x) and simplify the result.
💡 Hint: Don't forget to apply the chain rule!
Question 2
Show the result when differentiating g(x) = ln(x + 1) - e^(x) using its derivatives.
💡 Hint: Proceed term by term.
Challenge and get performance evaluation