To do well in Grade 12 Calculus and understand basic differentiation rules, here are some helpful tips:

1. Learn the Basic Differentiation Rules

Start by knowing these three important rules:

• Power Rule: If you have a function like $f(x) = x^n$, then if you take the derivative, it becomes $f'(x) = nx^{n-1}$.

• Product Rule: If you have a function like $f(x) = u(x)v(x)$, the derivative is $f'(x) = u'v + uv'$.

• Quotient Rule: For a function like $f(x) = \frac{u(x)}{v(x)}$, the derivative is $f'(x) = \frac{u'v - uv'}{v^2}$.

2. Practice Regularly

Make it a habit to practice often. Studies show that doing things in spaced-out sessions can help you remember better—up to 50% more! Aim to solve at least 10 problems each day using these rules in different situations.

3. Work on Sample Problems

Look for sample problems in textbooks or online. A good strategy is to sort these problems by the rule used. Try practicing:

• Simple power functions
• Functions that have products of polynomials
• Rational functions that need the quotient rule

4. Study with Friends

Get together with classmates to talk about and solve differentiation problems. According to research, studying in groups can help you do better—up to 35% more effective!

5. Use Flashcards

Make flashcards that summarize each differentiation rule and include example problems. Using flashcards helps you recall information better and can improve your memory by 50-70%!

6. Take Practice Tests

Try taking practice tests to mimic real exam conditions. This will help you manage your time better and build your confidence. Studies also show that students who take practice tests score about 20% higher on average than those who don’t.

By following these tips, you will deepen your understanding of basic differentiation rules and perform better in your calculus exam.