Practice Basic Differentiation Rules - 4.5 | 4. Calculus | ICSE Class 11 Maths
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4.5 - Basic Differentiation Rules

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the derivative of a constant function f(x) = 7?

💡 Hint: Remember the Constant Rule.

Question 2

Easy

Calculate the derivative of f(x) = x^2.

💡 Hint: Use the Power Rule.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the derivative of f(x) = 4?

  • 4
  • 0
  • -4

💡 Hint: Think about the Constant Rule.

Question 2

Using the Power Rule, what is the derivative of f(x) = x^2?

  • 2x
  • x
  • 2

💡 Hint: Remember the form x^n becomes nx^(n-1).

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Differentiate the function f(x) = 6x^4 + 2x^3 - 3x + 1.

💡 Hint: Use the Power Rule on each term.

Question 2

If h(x) = 2x^3 + 4x + 1 and j(x) = 3x^2 - 5, find the derivative of k(x) = h(x) - j(x).

💡 Hint: Apply the Difference and Sum Rules appropriately.

Challenge and get performance evaluation