Differentiate w.r.t. x
8x-6
Evaluate
4x^{2}-6x+17
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}-6x+17)
Add 3 and 14 to get 17.
2\times 4x^{2-1}-6x^{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}.
8x^{2-1}-6x^{1-1}
Multiply 2 times 4.
8x^{1}-6x^{1-1}
Subtract 1 from 2.
8x^{1}-6x^{0}
Subtract 1 from 1.
8x-6x^{0}
For any term t, t^{1}=t.
8x-6
For any term t except 0, t^{0}=1.
4x^{2}-6x+17
Add 3 and 14 to get 17.
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Limits
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