School level

# 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

LC HL 2019 P1 Q8 Trigonometric Function and Calculus Question

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of differentiation and Chain Rule

Asset type: Document
Language: English
Special Needs:

### Natural Logarithimic Function Calculus Question

2019 P1 Q3

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule in Calculus

Asset type: Document
Language: English
Special Needs:

### Exponential Function Calculus Question

2018 P1 Q8

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

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

Asset type: Document
Language: English
Special Needs:

### Natural logarithmic Function Calculus Question

2017 p1 Q3

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

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

Asset type: Document
Language: English
Special Needs:

### Chain Rule Question

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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

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

Asset type: Document
Language: English
Special Needs:

### 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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision for Chain Rule in Calculus

Asset type: Video
Language: English
Special Needs:

### 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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

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

Asset type: Video
Language: English
Special Needs:

### 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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of Chain Rule in Calculus

Asset type: Video
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### 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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

Suggestions for use: Revision of the chain rule in calculus

Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### 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

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 2. Calculus

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

Asset type: Video
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

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