GRADE 12 · MATHEMATICS · TOPIC 6

Applications of Derivatives

Derivative sign helps identify increasing or decreasing behaviour.

CONCEPT EXPLAINED

Understand the concept

Derivative sign helps identify increasing or decreasing behaviour.

SOLVED EXAMPLE

For f(x)=x², find f′(3)

  1. Step 1: f′(x)=2x
  2. Step 2: evaluate at 3.

Final answer: 6

PRACTISE YOURSELF

For f(x)=x³ find f′(2)

Show the answer

12

Try another similar question and explain each step aloud. Refer to your school syllabus for topic level and notation.