3.4 - Derivatives of Exponential and Logarithmic Functions
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Practice Questions
Test your understanding with targeted questions
Differentiate \( f(x) = 4^x \).
💡 Hint: Use the general exponential derivative formula.
What is the derivative of \( \ln(10) \)?
💡 Hint: Remember that constants have no change.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the derivative of \( e^x \)?
💡 Hint: Recall the property of the natural exponential function.
True or False: The derivative of \( \ln(x) \) is \( \frac{1}{x} \).
💡 Hint: Consider the definition of the natural logarithm.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Differentiate the function f(x) = e^(x^2 + x) and simplify the result.
💡 Hint: Don't forget to apply the chain rule!
Show the result when differentiating g(x) = ln(x + 1) - e^(x) using its derivatives.
💡 Hint: Proceed term by term.
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