#AP Calculus AB/BC: Derivative Rules - Your Ultimate Review 🚀

Hey there, future calculus masters! 👋 Let's make sure you're totally prepped for the AP exam. This guide is designed to be your best friend the night before the test—clear, concise, and super helpful. We're focusing on derivative rules today, so let's jump right in!

#2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple

These rules are your bread and butter for quickly finding derivatives of polynomial functions. Let's break them down:

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• What it is: The derivative of any constant is always zero.
• Formula: If $f(x) = c$ (where $c$ is a constant), then $f'(x) = 0$.
• Example: If $f(x) = 7$, then $f'(x) = 0$.

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• What it is: The derivative of a sum of functions is the sum of their derivatives.
• Formula: If $f(x) = g(x) + h(x)$, then $f'(x) = g'(x) + h'(x)$.
• Example: If $f(x) = x^2 + 3x$, then $f'(x) = 2x + 3$.

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• What it is: The derivative of a difference of functions is the difference of their derivatives.
• Formula: If $f(x) = g(x) - h(x)$, then $f'(x) = g'(x) - h'(x)$.
• Example: If $f(x) = 4x^3 - 2x$, then $f'(x) = 12x^2 - 2$.

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• What it is: T...