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Leibnitz differential & integral Calculus - Exam
  • 1. Who is known as the co-discoverer (with Newton) of differential and integral calculus?
A) Isaac Newton
B) Euclid
C) Archimedes
D) Gottfried Wilhelm Leibniz
  • 2. What does the integral sign represent in calculus?
A) The area under a curve
B) The derivative of a function
C) The limit of a sequence
D) The slope of a tangent line
  • 3. What term describes the mathematical study of shapes and spaces?
A) Geometry
B) Trigonometry
C) Statistics
D) Algebra
  • 4. What term refers to the process of finding the antiderivative of a function?
A) Integration
B) Limitation
C) Differentiation
D) Exponentiation
  • 5. In Leibniz notation, what does ∂ represent?
A) Partial derivative
B) Definite integral
C) Totally differentiated
D) Prime notation for derivatives
  • 6. Leibniz is known for his work in what other field besides mathematics?
A) Chemistry
B) Philosophy
C) Physics
D) Biology
  • 7. Leibniz introduced the concept of 'infinitesimal' in calculus. What does this represent?
A) An integer
B) An infinitely small quantity
C) A prime number
D) An infinitely large quantity
  • 8. What is the Leibniz notation for the integral of a function f(x)?
A) ψ(f(x))
B) Δf(x)
C) ∫f(x)dx
D) d(f(x))/dx
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