Calculus Challenge

Calculus Challenge

Test your Calculus know-how with this ultimate challenge. 12 diverse questions on integration, differentiation and other Calculus topics await you. Can you ace it?

published on May 13, 2023
1/12

Which process is used to identify the rate of change of a function?

Which process is used to identify the rate of change of a function?
System Optimization
Differentiation
Approximation
Integration
2/12

Under which method can we find the area under a curve?

Under which method can we find the area under a curve?
Extreme Value Theory
Differentiation
Integration
Wave Analysis
3/12

Second order derivatives of a function can also be called ...

Second order derivatives of a function can also be called ...
Partial Derivatives
Curvature Derivatives
Normalized Derivatives
Hessian Derivatives
4/12

Which of the following functions is discontinuous?

Which of the following functions is discontinuous?
sqrt(x)
abs(x)
lfloor(x)
root(x)
5/12

Which Calculus tool can be used to find the rate of change between two points on a curve?

Which Calculus tool can be used to find the rate of change between two points on a curve?
Tangent Line
Reciprocal Line
Normal Line
Diatonic Line
6/12

Integration can be applied to solve which type of problem?

Integration can be applied to solve which type of problem?
A Single Linear Equation
Systems of Linear Equations
Calculate Definite Area under a Curve
Calculate the Derivative of a Function
7/12

Under which classification does the Taylor Series Expansion method fall?

Integral Calculus
Differential Calculus
Analytic Calculus
Algebraic Calculus
8/12

What is a limit in Calculus?

What is a limit in Calculus?
A Critical Point of a Function
The Point at which a Graph Ceases to exist
The Value of a Function at a Specific Input
The Boundary Value of a Function as it Approaches a Specific Point
9/12

What is a derivative?

What is a derivative?
A Critical Point of a Function
The Point at which a Graph Ceases to exist
The Rate at which a Function Changes with Respect to its Input
The Boundary Value of a Function as it Approaches a Specific Point
10/12

The Partial Derivative of a Function is also known as ...

The Partial Derivative of a Function is also known as ...
Derivative of a System
Derivative of a Group
Derivative of a Set
Derivative of a Vector
11/12

The Fundamental Theorem of Calculus states ...

The Fundamental Theorem of Calculus states ...
A Curve has Exactly One Tangent at Each Point
A Curve has Exactly One Normal at Each Point
The Derivative of a Function is Equal to its Integral
The Definite Integral Can be Found Using the Antiderivative of a Function
12/12

What is the Difference Between a Limit and a Derivative?

What is the Difference Between a Limit and a Derivative?
A Limit is the Value a Function Reaches, A Derivative is the Rate of Change of the Function
A Limit is the Rate of Change of a Function, A Derivative is the Value a Function Reaches
A Limit is the Derivative of a Function, A Derivative is the Limit of a Function
A Limit is the Integral of a Function, A Derivative is the Difference of a Function