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Worked Example

Exam recap 10

For Class 12 Mathematics, explain or solve a rate of change question from the chapter "Application of Derivatives". Focus on exam recap and show the working clearly.

Step-by-step solution path

  1. Read the topic idea: Rate of Change.
  2. Recall the core explanation from the chapter: Rate of change, increasing/decreasing functions, maxima, minima, tangents and normals.
  3. Use the related formula "Equation of Normal" as the main tool while solving.
  4. Write the reasoning in simple school-level language before the final answer.
Final learning answer
This example is centred on Rate of Change. A strong solution should identify the correct data, apply Equation of Normal, and explain each transition instead of jumping directly to the answer.

Related formula

Equation of Normal
y - y₁ = (-1/m)(x - x₁) where m = f'(x₁)
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