Differential and Integral Calculus Quiz

What is the limiting value of f(x) = x^2 as x approaches 2?

• 2

• 5

• 3

• 4

What notation is used for the limiting value of f(x) as x approaches 2 from the right?

• lim x→2 f(x)

• lim x→2 f(x)+

• lim x→2+ f(x)

• lim x→2- f(x)

What is the gradient of the curve y = 2x^2 - 1 at the point x = 2?

• 10

• 8

• 6

• 4

What is the first principle used to find the gradient of a curve?

• Approximation From First Principles

• Differentiation From Second Principles

• Integration From First Principles

• Limit Calculation

What is the differential coefficient of y with respect to x written as?

• dy^2/dx

• d^2y/dx^2

• dy/dx

• dx/dy

What is the value of f(x) when x = 1.99999 for the function f(x) = 2x?

• 4

• 4.00001

• 3.99999

• 3.99998

What is the gradient of the chord AB represented as?

• dy/Δx

• Δy/Δx

• δy/δx

• dy/dx

What is the limit of dy/dx as Δx approaches 0 called?

• Integral Coefficient

• Differential Coefficient

• Slope

• Gradient

What is the value of f(x) when x = 2.000001 for the function f(x) = x^2?

• 4.000004

• 4.000001

• 4.0000001

• 4.00001

What is the increment in x when moving from point A to point B represented as?

• δy

• δx

• Δy

• Δx