The derivative of \( x^2 \) with respect to \( x \) is found using the power rule, which states that if \( f(x) = x^n \), then \( f'(x) = nx^{n-1} \).

Applying the power rule:

\[ \frac{d}{dx} (x^2) = 2x^{2-1} = 2x \]

So, the derivative of \( x^2 \) is \( 2x \).

Would you like more details or have any questions?

Here are 5 numbered questions you might want to ask:

1. How do you solve a quadratic equation?
2. What is the integral of \( \sin(x) \)?
3. Can you explain the Pythagorean theorem?
4. How do you find the area of a circle?
5. What is the derivative of \( e^x \)?

**Tip:** When finding derivatives, it helps to be familiar with basic rules like the power rule, product rule, and chain rule.

Discover how to find the derivative of x^2 using the power rule in calculus. This problem explains the fundamental concept of differentiation and applies it to the function x^2. Suitable for Grades 11-12 students learning calculus.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation