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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.

Essential Derivative Rules: A Quick Reference

Rule of sums

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

Essential Derivative Rules: A Quick Reference

Rule of differences

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

Essential Derivative Rules: A Quick Reference

Product rule

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

Essential Derivative Rules: A Quick Reference

Quotient rule

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

Essential Derivative Rules: A Quick Reference

Power rule

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

Essential Derivative Rules: A Quick Reference

Functions of other functions

When differentiating composite functions, apply the chain rule.

Essential Derivative Rules: A Quick Reference

 

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