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Formula and Explanation
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Derivative calculation rules:
First Derivative: f'(x) or d/dx[f(x)]
Second Derivative: f''(x) or d²/dx²[f(x)]
n-th Derivative: f⁽ⁿ⁾(x) or dⁿ/dxⁿ[f(x)]
Examples:
\[\frac{d}{dx}[x^2] = 2x\]
\[\frac{d}{dx}[\sin(x)] = \cos(x)\]
\[\frac{d^2}{dx^2}[x^3] = 6x\]
Derivative Calculation
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Supported operations: +, -, *, /, ^, sqrt(), sin(), cos(), tan(), exp(), log()
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