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Evaluate
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Differentiate w.r.t. x
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3+5x+6
Combine 7x and -2x to get 5x.
9+5x
Add 3 and 6 to get 9.
\frac{\mathrm{d}}{\mathrm{d}x}(3+5x+6)
Combine 7x and -2x to get 5x.
\frac{\mathrm{d}}{\mathrm{d}x}(9+5x)
Add 3 and 6 to get 9.
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}.
5x^{0}
Subtract 1 from 1.
5\times 1
For any term t except 0, t^{0}=1.
5
For any term t, t\times 1=t and 1t=t.