Evaluate
55x^{2}+29
Differentiate w.r.t. x
110x
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55x^{2}+2x+12-2x+17
Combine 20x^{2} and 35x^{2} to get 55x^{2}.
55x^{2}+12+17
Combine 2x and -2x to get 0.
55x^{2}+29
Add 12 and 17 to get 29.
\frac{\mathrm{d}}{\mathrm{d}x}(55x^{2}+2x+12-2x+17)
Combine 20x^{2} and 35x^{2} to get 55x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(55x^{2}+12+17)
Combine 2x and -2x to get 0.
\frac{\mathrm{d}}{\mathrm{d}x}(55x^{2}+29)
Add 12 and 17 to get 29.
2\times 55x^{2-1}
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}.
110x^{2-1}
Multiply 2 times 55.
110x^{1}
Subtract 1 from 2.
110x
For any term t, t^{1}=t.
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