Differentiate w.r.t. x
6x+7
Evaluate
3x^{2}+7x+10
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+7x+10)
Combine 5x and 2x to get 7x.
2\times 3x^{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}.
6x^{2-1}+7x^{1-1}
Multiply 2 times 3.
6x^{1}+7x^{1-1}
Subtract 1 from 2.
6x^{1}+7x^{0}
Subtract 1 from 1.
6x+7x^{0}
For any term t, t^{1}=t.
6x+7\times 1
For any term t except 0, t^{0}=1.
6x+7
For any term t, t\times 1=t and 1t=t.
3x^{2}+7x+10
Combine 5x and 2x to get 7x.
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