Differentiation (Harder powers - negative and fractions) 2

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Matt Falk

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1 year, 10 months ago

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Matt Falk 1 year, 10 months ago

Gave some feedback: Ready to use

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Christian Lawson-Perfect 2 years, 5 months ago

Published this.

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Ben McGovern 4 years, 7 months ago

Created this as a copy of Differentiation: Using a Table of Derivatives 2.

Name	Status	Author	Last Modified
Differentiation: Using a Table of Derivatives 2	Ready to use	Ben McGovern	26/09/2022 12:10
Differentiation: Using a Table of Derivatives 3	Ready to use	Ben McGovern	26/09/2022 12:11
Differentiation: Using a Table of Derivatives 4	Ready to use	Ben McGovern	26/09/2022 12:11
Differentiation: Using a Table of Derivatives 5a	Ready to use	Ben McGovern	26/09/2022 12:11
Differentiation: Using a Table of Derivatives 5b	Ready to use	Ben McGovern	26/09/2022 12:12
Differentiation: Using a Table of Derivatives 5c	Ready to use	Ben McGovern	26/09/2022 12:12
Differentiation (Harder powers - negative and fractions) 2	Ready to use	Ben McGovern	04/05/2023 05:42
Differentiation: Stationary Points and their Nature 1	Ready to use	Ben McGovern	26/09/2022 11:56
Differentiation: Stationary Points and their Nature 2	Ready to use	Ben McGovern	26/09/2022 11:56
Integration: Using a Table of Integrals 2	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 3a	Ready to use	Ben McGovern	13/02/2023 10:37
Integration: Using a Table of Integrals 3b	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 4	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 5a	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 5b	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 5c	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 6	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 1a i	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 1b	Ready to use	Ben McGovern	23/02/2023 12:45
Integration: By Substitution 1c	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 2a	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 2b	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 2c	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 3a i	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 3c	Ready to use	Ben McGovern	27/09/2022 09:01
Integration (Negative and Fractional Powers) 2	Has some problems	Ben McGovern	27/09/2022 09:01
Integration (Negative and Fractional Powers) 3	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Definite Integrals 2	Ready to use	Ben McGovern	26/09/2022 12:18
Integration: By Substitution 1a ii (Negative and Fractional Powers)	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: By Substitution 3a ii (Negative and Fractional Powers)	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Definite Integrals 3	Ready to use	Ben McGovern	26/09/2022 12:18
Integration: Definite Integrals 4	Ready to use	Ben McGovern	26/09/2022 12:19
CB2 Differentiating polynomials 2	Ready to use	Mash Sheffield	09/04/2024 15:44
CD3 Integration - Substitution	Ready to use	Andrew Neate	09/04/2024 15:56
CB4 Definite integration	Ready to use	Andrew Neate	09/04/2024 15:45
CB6 Differentiating Trig 1	Ready to use	Andrew Neate	09/04/2024 15:46
CB7 Differentiating Trig 2	Ready to use	Andrew Neate	09/04/2024 15:46
CB8 Differentiating with Trig 3	Ready to use	Andrew Neate	09/04/2024 15:52
CB9 Differentiating with Exponentials	Ready to use	Andrew Neate	09/04/2024 15:52
CB10 Differentiation with logs	Ready to use	Andrew Neate	09/04/2024 15:43
CB3 - Indefinite integration - polynomials	Ready to use	Andrew Neate	09/04/2024 15:45
CB5 - Finding turning points	Ready to use	Andrew Neate	09/04/2024 15:46

There are 150 other versions that do you not have access to.

Question statement

Find the derivative of $y=\simplify[unitFactor, fractionNumbers]{{a_1}*x^{b_1}+{a_2}*x^{b_2}+{a_3}*x^{b_3}}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

			Name	Type	Generated Value

a_1	integer	10
a_2	integer	10
a_3	integer	-2
b_1	integer	5
b_2	integer	-3
b_3	rational	5/2
b	integer	5
c	integer	2
advice	string	<p>So, for the function \[y=\s
advice2	string	<p>So, for the function \[y=\s
advice3	string	<p>So, for the function \[y=\s
solutiona	string	<p>So, for the function \[y=\s
solutionb	string	<p>So, for the function \[y=\s
solutionc	string	<p>So, for the function \[y=\s
solutiond	string	<p>So, for the function \[y=\s

Automatically regenerate variables?

Name

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Value

xxxxxxxxxx
 
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Description

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Generated value: `integer`

→ Used by:

solutiona
solutionb
solutionc
solutiond

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Parts

Gap-fill
1. Gap Gap 0 Mathematical expression
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Gap-fill

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

$\frac{dy}{dx}=$ Gap 0

Advice

From the Table of Derivatives we see that a function of the form

$f(x)=kx^n$ has a derivative

$\frac{df}{dx} = knx^{n-1}.$

Additionally, the derivative of the sum or difference of two or more functions is equal to the sum or difference of the derivatives of each function:

$\frac{d}{dx}(f(x)\pm g(x)) = \frac{df}{dx} \pm \frac{dg}{dx}.$

{advice}

Give a worked solution to the whole question.

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Differentiation (Harder powers - negative and fractions) 2

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Matt Falk 1 year, 10 months ago

Christian Lawson-Perfect 2 years, 5 months ago

Ben McGovern 4 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Differentiation (Harder powers - negative and fractions) 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Matt Falk 1 year, 10 months ago

Christian Lawson-Perfect 2 years, 5 months ago

Ben McGovern 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`