8.05 Rules for differentiation

Interactive practice questions

Differentiate $y=3x^2$y=3x2

Easy

< 1min

Differentiate $y=5x^5$y=5x5

Easy

< 1min

Determine the derivative of $y=-\frac{1}{5}x^3$y=−15x3.

Easy

< 1min

Differentiate $y=7x^{-3}$y=7x−3.

Easy

< 1min

understand the concept of the derivative as a function

recognise and use properties of the derivative 𝑑/𝑑x [𝑓(𝑥)+𝑔(𝑥)]=𝑑/𝑑x 𝑓(𝑥) + 𝑑/𝑑x 𝑔(𝑥)

calculate derivatives of power and polynomial functions