Welcome to the Wonderful World of Derivatives!

Calculus is a field of mathematics leading to numerous applications in science, engineering, and beyond! At its core lies the concept of derivatives, which represent how a function changes as its input changes. Let's dive into the basics.

What is a Derivative?

The derivative of a function \( f \) at a point \( x \) gives us the slope of the tangent to the function at that point. It's a measure of how \( f(x) \) changes with respect to \( x \).

The Power Rule

If you have a function \( f(x) = x^n \), the derivative \( f'(x) = nx^{n-1} \). Easy peasy!

More Learning Resources

• Integrals - Learn about the area under curves.
• Limits - Discover how we deal with approaching values.
• Applications of Derivatives - See how derivatives are used in real life.

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