Welcome to the World of Derivatives! 🧮

Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. In this guide, we'll explore the basics of derivatives.

What is a Derivative?

The derivative of a function measures how the function's output changes as the input changes. It is a fundamental tool for analysing the behavior of functions.

Basic Rules of Differentiation:

Power Rule: \( \frac{d}{dx}x^n = nx^{n-1} \)
Product Rule: \( \frac{d}{dx}(uv) = u'v + uv' \)
Quotient Rule: \( \frac{d}{dx}(\frac{u}{v}) = \frac{u'v - uv'}{v^2} \)
Chain Rule: \( \frac{d}{dx}f(g(x)) = f'(g(x))g'(x) \)

Explore More:

For a deeper dive into calculus, check out these related pages:

Integrals in Calculus
Limits in Calculus
Applications of Calculus

Enjoy learning with a friendly froge! 🐸

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