Wolfram Language Fast Introduction for Math Students
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Derivatives

Calculate derivatives with the D command:

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⨯ 
D[x^6, x]
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Or use prime notation:

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⨯ 
Sin'[x]
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Differentiate user-defined functions:

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⨯ 
f[x_] := x^2 + 2 x + 1;
f'[x]
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Pass derivatives directly into a plot:

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⨯ 
Plot[{f[x], f'[x]}, {x, -3, 3}]
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You can also take multiple derivatives:

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⨯ 
D[x^6, {x, 3}]
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Or use the ' symbol multiple times:

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⨯ 
Sin''[x]
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As with earlier subjects, calculus formulas can be accessed via natural-language input:

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X 
product rule formula
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QUICK REFERENCE: Calculus »