Basic Differentiation Rules
- Constant Rule: The derivative of a constant is zero.
- Power Rule: \( \frac{d}{dx} x^n = nx^{n-1} \)
- Sum Rule: \( \frac{d}{dx} (u + v) = \frac{du}{dx} + \frac{dv}{dx} \)
- Difference Rule: \( \frac{d}{dx} (u - v) = \frac{du}{dx} - \frac{dv}{dx} \)
- Product Rule: \( \frac{d}{dx} (uv) = u\frac{dv}{dx} + v\frac{du}{dx} \)
- Quotient Rule: \( \frac{d}{dx} \left(\frac{u}{v}\right) = \frac{v\frac{du}{dx} - u\frac{dv}{dx}}{v^2} \)
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