Calculus Concepts and Applications

Calculus Concepts and Applications

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the basics of Calculus 1, including functions, limits, continuity, derivatives, and integration. It explains how functions relate inputs to outputs, the concept of limits, and the types of discontinuities. Derivatives are introduced as a tool to measure the rate of change, with various differentiation rules provided. The video also explores the practical applications of derivatives and introduces integration as a method to find areas under curves, detailing the types of integrals.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the vertical line test?

To find the slope of a line

To identify discontinuities in a graph

To calculate the area under a curve

To determine if a graph is a function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best describes a limit?

The exact value of a function at a point

The behavior of a function as it approaches a point

The area under a curve

The slope of a tangent line to a curve

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of discontinuity occurs when a function jumps to another value?

Jump discontinuity

Hole discontinuity

Infinite discontinuity

Point discontinuity

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main use of derivatives in calculus?

To observe the rate of change of functions

To find the area under a curve

To determine the continuity of a function

To calculate the limit of a function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which notation is commonly used for derivatives?

Newton and Euler notation

LaGrange and Leibniz notation

Fourier and Laplace notation

Riemann and Cauchy notation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is NOT a differentiation rule?

Constant rule

Sum rule

Product rule

Limit rule

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one practical application of derivatives?

Determining the continuity of a function

Calculating the area under a curve

Finding the instantaneous velocity of an object

Identifying the type of discontinuity

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?