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Evaluate
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Differentiate w.r.t. x
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6x^{2}+5x+3+0
Multiply -1 and 0 to get 0.
6x^{2}+5x+3
Add 3 and 0 to get 3.
2\times 6x^{2-1}+5x^{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}.
12x^{2-1}+5x^{1-1}
Multiply 2 times 6.
12x^{1}+5x^{1-1}
Subtract 1 from 2.
12x^{1}+5x^{0}
Subtract 1 from 1.
12x+5x^{0}
For any term t, t^{1}=t.
12x+5\times 1
For any term t except 0, t^{0}=1.
12x+5
For any term t, t\times 1=t and 1t=t.