9.05 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

use the Leibniz notation for the derivative: dy/dx=lim_δx→0 δy/δx and the correspondence dy/dx=f′(x) where y=f(x)

understand the concept of the derivative as a function

recognise and use linearity properties of the derivative

calculate derivatives of polynomials and other linear combinations of power functions