CB1 Differentiate Polynomials 1

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From users who are members of Skills Audits for Maths and Stats :

Lauren Desoysa	said	Ready to use	1 year, 1 month ago
Mash Sheffield	said	Needs to be tested	1 year, 3 months ago

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Will Morgan 11 months, 4 weeks ago

Published this.

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Lauren Desoysa 1 year, 1 month ago

Gave some feedback: Ready to use

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Mash Sheffield 1 year, 3 months ago

Gave some feedback: Needs to be tested

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Mash Sheffield 1 year, 3 months ago

Created this as a copy of Differentiation: Using a Table of Derivatives 1.

Name	Status	Author	Last Modified
Differentiation: Using a Table of Derivatives 1	Ready to use	Ben McGovern	05/04/2023 11:25
Differentiation (Harder powers - negative and fractions) 1	draft	Ben McGovern	27/09/2022 09:01
Integration: Using a Table of Integrals 1	Ready to use	Ben McGovern	27/09/2022 09:01
Integration (Negative and Fractional Powers) 1	Ready to use	Ben McGovern	27/09/2022 09:01
Integration: Definite Integrals 1	Ready to use	Ben McGovern	31/08/2023 14:51
CB1 Differentiate Polynomials 1	Ready to use	Mash Sheffield	09/04/2024 15:43

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Question statement

Calculate the derivative of $y=\simplify{{a}x^{b}}$ .

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			Name	Type	Generated Value

			a	integer	-11
			b	integer	3

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Generated value: `integer`

-11

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"Unnamed part" → "Gap 0" - Correct answer

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1. Gap Gap 0 Mathematical expression
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Gap-fill

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

Advice

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

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

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

So, for the function

$y=\simplify{{a}x^{b}},$ the derivative is

$\begin{split}\frac{dy}{dx} &= (\var{a}\times\var{b})x^{\var{b}-1},\\ \\&= \simplify{{a*b}x^{{b}-1}}.\end{split}$

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Will Morgan 11 months, 4 weeks ago

Lauren Desoysa 1 year, 1 month ago

Mash Sheffield 1 year, 3 months ago

Mash Sheffield 1 year, 3 months ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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CB1 Differentiate Polynomials 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 11 months, 4 weeks ago

Lauren Desoysa 1 year, 1 month ago

Mash Sheffield 1 year, 3 months ago

Mash Sheffield 1 year, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`