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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Differentiate \( f(x) = 2x + 4 \).
💡 Hint: Apply the constant and sum rules.
Question 2
Easy
Differentiate \( f(x) = 5x^3 + 3x \).
💡 Hint: Use the power rule.
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 \( f(x) = g(x) + h(x) \)?
- \\( g'(x) \\)
- \\( g'(x) + h'(x) \\)
- \\( g'(x) - h'(x) \\)
💡 Hint: Think about breaking down the function into its parts.
Question 2
The derivative of a constant is:
- True
- False
💡 Hint: Consider how constants behave in functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Differentiate \( f(x) = 4x^3 + 2x^2 - 6x + 7 \) and interpret the result.
💡 Hint: Apply the power rule and sum rule accordingly.
Question 2
Differentiate \( f(x) = sin(x) + e^x - 5 \) and analyze the nature of the results.
💡 Hint: Pay attention to how each part contributes to the derivative.
Challenge and get performance evaluation