Differentiate w.r.t. x
28x-4
Evaluate
14x^{2}-4x+1
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(14x^{2}-4x+1)
Combine -2x and -2x to get -4x.
2\times 14x^{2-1}-4x^{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}.
28x^{2-1}-4x^{1-1}
Multiply 2 times 14.
28x^{1}-4x^{1-1}
Subtract 1 from 2.
28x^{1}-4x^{0}
Subtract 1 from 1.
28x-4x^{0}
For any term t, t^{1}=t.
28x-4
For any term t except 0, t^{0}=1.
14x^{2}-4x+1
Combine -2x and -2x to get -4x.
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Limits
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