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

https://www.youtube.com/watch?v=kpuxI2nYemU

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

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

https://www.youtube.com/watch?v=lEj3dzj2Doc