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Applications of Product, Quotient and Chain Rules

This is part of the HSC Mathematics Advanced course under the topic of Calculus: Differential Calculus.

Here we will explore how to apply the product, quotient and chain rules to differentiate functions. This includes learning to:

  • Apply the product, quotient and chain rules to differentiate functions of the form
  • Use the composite function rule (chain rule)
  • Use the logarithmic laws to simplify an expression before differentiation
  • Use the composite function rule (chain rule) to establish and use the derivatives of \sin(f(x)), \cos(f(x)) and \tan (f(x)) .

Differentiating Exponential Functions With Chain Rule

 

Eddie Woo: Differentiating Log Functions with Chain Rule

 

Simplifying Logarithms Before Differentiating

Chain Rule With Trigonometric Functions Explained

 

Examples of Derivatives of Trigonometric Functions – Product, Quotient & Chain Rule

 

Derivatives – Power, Product, Quotient and Chain Rule – Functions & Radicals – Calculus Review

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