Class 12 Maths Quiz 1

What is the original motivation for the derivative?

• To measure the instantaneous rate of change of a function.
• To calculate the area under a curve.
• To find the maximum value of a function.
• To determine the average rate of change over an interval.

What are anti derivatives?

• Anti-derivatives are functions whose derivative gives the original function.
• Anti-derivatives are only applicable to polynomial functions.
• Anti-derivatives are functions that cannot be derived.
• Anti-derivatives are the same as derivatives.

What is the process of finding anti derivatives called?

• Multiplication
• Differentiation
• Summation
• Integration

What is integration in relation to differentiation?

• Integration is the same as differentiation.
• Integration is a method to simplify equations.
• Integration is used to find limits of functions.
• Integration is the reverse process of differentiation.

What is the notation for the indefinite integral of f with respect to x?

• ∫f(x)
• ∫f(x)dx
• ∫f dx
• ∫dx f(x)

Write an anti derivative for the function cos 2x

• (1/2)sin(2x) + C
• (1/4)sin(2x) + C
• (1/2)cos(2x) + C
• sin(2x) + C

Write an integration of the function 1/x, x ≠ 0 using the method of inspection.

• sin(x) + C
• e^x + C
• log X + C

• x^2/2 + C

Who invented ∫ Integral sign?

• Isaac Newton
• Carl Friedrich Gauss
• Leonhard Euler
• Gottfried Wilhelm Leibniz

Who discovered Matrix Notation […] ?

• Gerhard Kowalewski

• Carl Friedrich Gauss
• Isaac Newton
• Alan Turing

Who is the “Father of Mathematics”?

• Pythagoras
• Archimedes
• Euclid
• Isaac Newton