Slope of a curve at a point [L7 Random]

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From users who are members of CHY1205 :

Matthew James Sykes

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Needs to be tested

6 years, 9 months ago

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Matthew James Sykes 6 years, 9 months ago

Gave some feedback: Needs to be tested

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Matthew James Sykes 6 years, 9 months ago

Created this as a copy of Slope of a curve at a point.

Name	Status	Author	Last Modified
Slope of a curve at a point	Ready to use	Frank Doheny	02/10/2018 07:29
Praneetha's copy of Slope of a curve at a point	draft	Praneetha Singh	28/06/2018 05:49
Slope of a curve at a point [L7 Random]	Needs to be tested	Matthew James Sykes	25/07/2018 11:02
Katy's copy of Slope of a curve at a point	Ready to use	Katy Dobson	30/07/2018 12:40
Slope of a curve at a point	draft	Xiaodan Leng	10/07/2019 23:26
Slope of a curve at a point	draft	Xiaodan Leng	10/07/2019 23:42

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Question statement

Calculate the slope of the curve

$f(x)=\var{a}x^3-\var{b}x^2+\var{c}x+\var{d}$

at the point where $x=\var{f}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
b	integer	9
c	integer	12
d	integer	17
f	integer	1

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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: `integer`

This variable doesn't seem to be used anywhere.

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1. Gap Number entry
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$slope =$ Unnamed gap

Advice

$f(x)=\var{a}x^3-\var{b}x^2+\var{c}x+\var{d}$

The equation for the slope of a curve is found by differentiating the function.

$\frac{df}{dx}=3*\var{a}x^2-2*\var{b}x+\var{c}$

To find the slope at a particular point we simply insert the x-coordinate value into this equation.

Slope = $3*\var{a}*\var{f}^2-2*\var{b}*\var{f}+\var{c}$

Slope = $\simplify{3*{a}*{f}^2-2*{b}*{f}+{c}}$

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Matthew James Sykes 6 years, 9 months ago

Matthew James Sykes 6 years, 9 months ago

Error in variable testing condition

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Generated value: `integer`

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Slope of a curve at a point [L7 Random]

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Matthew James Sykes 6 years, 9 months ago

Matthew James Sykes 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`