Practice - What is a Derivative?
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the derivative of a constant function f(x) = 3?
💡 Hint: Remember that constants do not change.
Using the power rule, find the derivative of f(x) = x^4.
💡 Hint: Apply the power rule: multiply by the exponent and reduce the exponent by 1.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the derivative of a function represent?
💡 Hint: Consider how speed relates to distance over time.
True or False: The derivative of a constant function is always 1.
💡 Hint: Think of a line with no slope.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the derivative of f(x) = 1/x is f'(x) = -1/x^2 using the limit definition.
💡 Hint: Be careful with the algebra when combining fractions.
Find the second derivative of f(x) = 3x^4 - 5x^2 + x.
💡 Hint: Derivatives can be taken multiple times, just apply the rules successively.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.