Differentiate w.r.t. x
14x-7
Evaluate
7x^{2}-7x+9
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}+9-7x)
Combine -6x^{2} and 13x^{2} to get 7x^{2}.
2\times 7x^{2-1}-7x^{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}.
14x^{2-1}-7x^{1-1}
Multiply 2 times 7.
14x^{1}-7x^{1-1}
Subtract 1 from 2.
14x^{1}-7x^{0}
Subtract 1 from 1.
14x-7x^{0}
For any term t, t^{1}=t.
14x-7
For any term t except 0, t^{0}=1.
7x^{2}+9-7x
Combine -6x^{2} and 13x^{2} to get 7x^{2}.
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