Differentiate w.r.t. x
44x-1
Evaluate
22x^{2}-x+8
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(22x^{2}-x+8)
Combine 20x^{2} and 2x^{2} to get 22x^{2}.
2\times 22x^{2-1}-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}.
44x^{2-1}-x^{1-1}
Multiply 2 times 22.
44x^{1}-x^{1-1}
Subtract 1 from 2.
44x^{1}-x^{0}
Subtract 1 from 1.
44x-x^{0}
For any term t, t^{1}=t.
44x-1
For any term t except 0, t^{0}=1.
22x^{2}-x+8
Combine 20x^{2} and 2x^{2} to get 22x^{2}.
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