Differentiate w.r.t. x
3x^{2}-1
Evaluate
x^{3}-x+1
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}-x+1)
Combine -3x and 2x to get -x.
3x^{3-1}-x^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
3x^{2}-x^{1-1}
Subtract 1 from 3.
3x^{2}-x^{0}
Subtract 1 from 1.
3x^{2}-1
For any term t except 0, t^{0}=1.
x^{3}-x+1
Combine -3x and 2x to get -x.
Examples
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Simultaneous equation
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Integration
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Limits
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