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Lesson Video

Algebra · Laws of indices

05:18

On screen

Rewrite each term with a common base, then use a^m × a^n = a^{m+n}.

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2:34 / 05:18
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Notes

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Excelora · Ch.07 Differentiation.pdf

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Screenshot of the Differentiation from First Principles PDF

Video

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Lesson Video

Walkthrough · 6 min

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Arthur

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Differentiation · Chain rule

Live
Walk me through differentiating y = sin(3x² + 1) using the chain rule.

Identify the inner and outer functions.

Outer: sin(u). Inner: u = 3x² + 1.

Differentiate each layer.

du/dx = 6x  ·  d/du (sin u) = cos u

Multiply and substitute back.

dy/dx = cos(u) · 6x = 6x cos(3x² + 1).

Progress

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Chapter Progress

3 of 5 subtopics completed

60%

  • 7.1 Differentiation from First PrinciplesWatched
  • 7.2 Standard Derivatives and Basic RulesWatched
  • 7.3 Chain Rule, Product Rule and Quotient RuleWatched
  • 7.4 Applications of DifferentiationNot yet
  • 7.5 Implicit and Parametric DifferentiationNot yet

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A Level Maths

  • Algebra
  • Functions
  • Differentiation
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Product rule

Read the worked example for y = x² sin x, or ask Arthur why each term appears.

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Chapter

63%

5 of 8 subtopics watched

Chain ruleDone
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