David's copy of Differentiation 15 - Applications

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Katie Lester 8 years, 10 months ago

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David Mason 9 years, 6 months ago

Created this as a copy of Differentiation 15 - Applications.

Name	Status	Author	Last Modified
Leicester: Differentiation 2	draft	Bill Foster	06/08/2020 08:42
Differentiation 15 - Applications	Ready to use	Katie Lester	01/06/2016 09:47
David's copy of Differentiation 15 - Applications	Ready to use	David Mason	01/06/2016 09:47
Jinhua's copy of Differentiation 15 - Applications	Ready to use	Jinhua Mathias	27/08/2024 16:37
CF Maths Differentiation 15 - Applications Finding Gradient	Ready to use	Jinhua Mathias	27/08/2024 16:37
CF Maths In class test two mock paper question 2	Ready to use	Jinhua Mathias	28/08/2024 12:15
Applications of differentiation	draft	Vicky Hall	20/05/2019 14:56
CATORCE CINCO Derivadas aplicaciones	draft	Marlon Arcila	08/09/2021 00:22
OCHO UNO Derivadas valor de f'	draft	Marlon Arcila	08/09/2021 00:45
Applications of differentiation	draft	cormac breen	23/02/2017 18:06
Applications of differentiation	draft	Nigel Atkins	15/03/2017 19:10
Applications of differentiation	draft	Milena Venkova	06/03/2018 15:26
Ida's copy of Applications of differentiation	draft	Ida Landgärds	17/04/2018 15:13
Ida's copy of Applications of differentiation	draft	Ida Landgärds	17/04/2018 15:34
spørsmål 3	draft	Ida Landgärds	02/12/2020 15:42
Harry's copy Applications of differentiation	draft	Harry Flynn	08/05/2018 11:51
Ida's copy of Ida's copy of Applications of differentiation	draft	Ida Landgärds	14/05/2018 09:18
spørsmål 3	draft	Ida Landgärds	02/12/2020 15:42
Blathnaid's copy of Applications of differentiation	draft	Blathnaid Sheridan	11/03/2019 15:07
Christian's copy of Applications of differentiation	draft	Christian Lawson-Perfect	20/05/2019 14:58
Maria's copy of Differentiation 15 - Applications	draft	Maria Aneiros	27/05/2019 05:47
Maria's copy of Christian's copy of Applications of differentiation	draft	Maria Aneiros	27/05/2019 05:47
Exam13 - Differentiation	draft	Michael Proudman	07/12/2021 09:54
nuExam13 - Differentiation	draft	Michael Proudman	07/12/2021 09:54
Differentiation 15 - Applications	draft	Xiaodan Leng	11/07/2019 06:58

There are 27 other versions that do you not have access to.

Question statement

Find the gradient of the curve $y= f(x)$ at the point, giving your answer to 2 decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
c	integer	2
b	integer	5
d	integer	3
g	number	-2.57
ee	integer	8
ans1	number	436.11
tol	number	0.01
n	number	0.7746

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..5)

JME function reference

Description

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

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Generated value: `integer`

→ Used by:

ans1

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

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

$f(x) = \simplify{ {a}*x^{b} + {c}/(x^{d}) + {ee}}$

Firstly, differentiate.

$f'(x)=$ Gap 1.

Gradient at $x=\var{g}\;$ is Gap 0.

Advice

We have

$\frac{df}{dx}=\var{a*b}x^{\var{b-1}}-\var{c*d}x^{\var{-d-1}}$

The gradient at $x=\var{g}$ is given by the value of $\displaystyle \frac{df}{dx}$ at $x=\var{g}$ and we therefore have:

Gradient = $\var{a*b}\times(\var{g})^{\var{b-1}}-\var{c*d}\times (\var{g})^{\var{-d-1}}= \var{dpformat(ans1,2)}$ to 2 decimal places.

Give a worked solution to the whole question.

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David's copy of Differentiation 15 - Applications

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Katie Lester 8 years, 10 months ago

David Mason 9 years, 6 months ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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David's copy of Differentiation 15 - Applications

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Katie Lester 8 years, 10 months ago

David Mason 9 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`