Calculus Concepts

Au programme

• What is the derivative of f(x) = ln(x² + 1) for real x?
• For which values of p does the infinite series Σ(1/nᵖ), from n = 1 to infinity, converge?
• If F(x) = ∫₀ˣ² sin(t) dt, what is F′(x)?
• What is the local maximum point of f(x) = x³ − 3x?
• Match each calculus concept with its most precise description.
• Match each theorem or test with the condition or conclusion it is associated with.
• Match each improper-integral behavior with the correct interpretation.
• Match each Taylor-series function with its radius of convergence.