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Stationary Points and Derivatives

Stationary Points and Derivatives

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial introduces the concept of stationary points and explains how to determine their nature using a flowchart. It begins with an example function, y = x^2 - 4x + 3, and demonstrates the process of differentiation to find the derivative. The tutorial then explains how to solve the derivative to locate stationary points and discusses examples of functions that do not have stationary points. Finally, it covers the process of substituting back into the original function to find the coordinates of stationary points and transitions to determining their nature.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the flowchart introduced in the lesson?

To determine the nature of stationary points

To solve quadratic equations

To calculate integrals

To graph linear functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding stationary points of a function?

Graph the function

Solve the function

Differentiate the function

Integrate the function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following functions does not have a stationary point?

y = x^2 - 4x + 3

y = x^3

y = 1/x

y = x^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the derivative equation 2x - 4 = 0?

x = 0

x = 1

x = 2

x = 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding the x-coordinate of a stationary point, what is the next step?

Graph the function

Solve for y

Differentiate again

Substitute x back into the original function

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