Calculus Fundamentals Quiz for January 26, 2026 | Quiz Zone

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Core Calculus Techniques

Mathematics & Logic

Core Calculus Techniques

A set of five medium-difficulty questions focusing on core calculus techniques and applications.

#limits#integrals#derivatives#fundamental-theorem#mean-value-theorem

Quiz Intelligence

Total Questions

5

Difficulty Level

medium

Progress

0/0

0%

Quiz Questions

Answer all questions below and test your knowledge.

1
What is the derivative of f(x) = x sin(x) with respect to x?
Question 1
2
Evaluate the limit: lim_{n -> infinity} (1 + 2/n)^n.
Question 2
3
Find the indefinite integral: ∫ x (x^2 + 1)^2 dx.
Question 3
4
If F(x) = ∫_0^x t^3 dt, what is F'(x)?
Question 4
5
According to the Mean Value Theorem, for which value c in the interval (0,2) does f'(c) equal the average rate of change of f(x)=x^2+1 over [0,2]?
Question 5

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