Essential Derivative Rules: A Quick Reference
This guide offers a concise overview of the fundamental derivative rules, illustrated with clear images to reinforce your understanding.
Constant rule
When differentiating a constant, the result is zero.

Rule of sums
The derivative of a sum equals the sum of the derivatives.

Rule of differences
The derivative of a difference equals the difference of the derivatives.

Product rule
For the product of two functions, the derivative is f'·g + f·g'.

Quotient rule
For a quotient of two functions, the derivative is (f'·g – f·g')/g².

Power rule
For a function f(x)=xⁿ, the derivative is n·xⁿ⁻¹.

Functions of other functions
When differentiating composite functions, apply the chain rule.

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