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24th April

24th April: Resources for applying the Chain Rule to differentiate functions

Learning Outcomes

Students studying at HL should be able to differentiate the following functions

  • polynomial
  • exponential
  • trigonometric
  • rational powers
  • inverse functions
  • logarithmic

and find the derivatives of sums, differences, products, quotients and compositions of functions of the above form

SEC Exam Questions
Explanatory Videos

Trigonometric Function and Calculus Question

https://www.scoilnet.ieuploads/resources/32615/32357.pdf Added: 20 Apr 2020 Contributor: PDST Resource type: Exam Papers

LC HL 2019 P1 Q8 Trigonometric Function and Calculus Question

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of differentiation and Chain Rule

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Language: English
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Rights Url: https://www.examinations.ie/?l=en&mc=au&sc=ru
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Natural Logarithimic Function Calculus Question

https://www.scoilnet.ieuploads/resources/32642/32384.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Exam Papers

2019 P1 Q3

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule in Calculus

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Language: English
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Exponential Function Calculus Question

https://www.scoilnet.ieuploads/resources/32644/32386.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Exam Papers

2018 P1 Q8

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of calculas, application of Chain Rule

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Language: English
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Natural logarithmic Function Calculus Question

https://www.scoilnet.ieuploads/resources/32646/32388.pdf Added: 21 Apr 2020 Contributor: PDST Resource type:

2017 p1 Q3

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Calculus, application of Chain Rule

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Language: English
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Rights Url: https://www.examinations.ie/?l=en&mc=au&sc=ru
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Chain Rule Question

https://www.scoilnet.ieuploads/resources/32650/32392.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Exam Papers

2014 Sample paper on rate of change of volume of snowball with respect to its surface area

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule in Calculus. Demonstration of application of chain rule

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Chain Rule

https://youtu.be/H-ybCx8gt-8 Added: 23 Apr 2020 Contributor: PDST Resource type: Audio / Video

An introduction to the Chain Rule in Calculus

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision for Chain Rule in Calculus

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Language: English
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Applications of the Chain Rule

https://youtu.be/U_qp0isxQYU Added: 23 Apr 2020 Contributor: PDST Resource type: Audio / Video

How the Chain Rule can be used to differentiate Trigonometric, Exponential and Logarithmic functions

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Calculus , Chain Rule and it's uses

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Language: English
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Introductory video to Chain Rule in Differentiaition

https://youtu.be/XIQ-KnsAsbg Added: 21 Apr 2020 Contributor: PDST Resource type: Audio / Video

Khan Academy Vdeo introducing Chain Rule

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule in Calculus

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Language: English
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Definition of the Chain Rule

https://youtu.be/DYb-AN-lK94 Added: 21 Apr 2020 Contributor: PDST Resource type: Audio / Video

Generalised form of the chain rule applied

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of the chain rule in calculus

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Language: English
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Applications of the Chain Rule

https://youtu.be/aEP4C_kvcO4 Added: 21 Apr 2020 Contributor: PDST Resource type: Audio / Video

Applying the Chain Rule to Logarithmic, Exponential and Trigonometric Functions

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Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule/Calculus/Differentiation

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Language: English
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