Maths 2 - Solving for X and Derivative Tests

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Questions and Answers

What is the solution for x in the first equation provided?

x = -3 (correct)
x = 1
x = 0
x = 3

What is the value of the second derivative of the function f(x) = -8x at any point?

-16
-8 (correct)
0
8

For the function f(x) = +3x, what can be said about its relative minimum and maximum values?

It only has a relative maximum value.
It has both a relative maximum and a minimum.
It has no relative minimum or maximum values. (correct)
It only has a relative minimum value.

What is the relative maximum value for the function f(x) = -24x + 5?

<p>-24 (C)</p> Signup and view all the answers

What is the second derivative test conclusion for the function f(x) = -8x?

<p>The function has a local maximum. (D)</p> Signup and view all the answers

Study Notes

Solving for x

First equation solution: X = -3
Second equation solution not provided
Third equation solution not provided

Finding Relative Extremes Using the Second Derivative Test

Function f(x) = -8x
- Relative maximum value identified: -16
Function f(x) = -24x + 5
- Relative maximum value identified: -24
Function f(x) = 3x
- No relative minimum or maximum values exist for this function

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Description

This quiz covers solving equations for x and finding relative maximum and minimum values using the second derivative test. Participants will solve for x in given equations and analyze functions for their critical points. Test your knowledge and understanding of basic calculus concepts.