Differentiation 8 - Logarithms - Numbas at mathcentre.ac.uk

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9 years, 7 months ago

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Name	Status	Author	Last Modified
Differentiation 8 - Logarithms	Ready to use	Katie Lester	01/06/2016 09:47
Jinhua's copy of Differentiation 8 - Logarithms	Ready to use	Jinhua Mathias	27/08/2024 16:37
CF Maths Portfolio 6 - Logarithms	Ready to use	Jinhua Mathias	28/08/2024 12:15
Jinhua's copy of Differentiation 8 - Logarithms	draft	Jinhua Mathias	28/08/2024 12:15
SIETE UNO Derivadas log	draft	Marlon Arcila	08/09/2021 00:45

There are 7 other versions that do you not have access to.

Question statement

Differentiate the following.

Do not write out $dy/dx$ ; only input the differentiated right hand side of each equation.

Give any introductory information the student needs.

			Name	Type	Generated Value

			c	list	[ 2, 7, 4, 2, 6, 6, 3, 7 ]
			p	integer	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(2..7),8)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 2, 7, 4, 2, 6, 6, 3, 7 ]

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Mathematical expression
  Add
Part b) Gap-fill
1. Gap Mathematical expression
  Add
Part c) Gap-fill
1. Gap Mathematical expression
  Add
Part d) Gap-fill
1. Gap Mathematical expression
  Add
Part e) Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$y=\ln(x)$

$\frac{dy}{dx}=$ Unnamed gap

Advice

The differentiate of $\ln(x)$ is $\frac{1}{x}$ .

This proof can be found here.

For natural logarithms in the form $u\ln(a(x))$ where $a(x)$ is a function of $x$ , the derivative is $u\frac{a'(x)}{a(x)}$ .

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exam:

Differentiation-trigonometry, exponential and logarithm functions by Jinhua Mathias in Deactivated user's workspace.

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Differentiation 8 - Logarithms

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Taxonomy: mathcentre

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Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

Differentiation 8 - Logarithms

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`