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Evaluate
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Differentiate w.r.t. x
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x+x+5
Use the distributive property to multiply 1 by x+5.
2x+5
Combine x and x to get 2x.
\frac{\mathrm{d}}{\mathrm{d}x}(x+x+5)
Use the distributive property to multiply 1 by x+5.
\frac{\mathrm{d}}{\mathrm{d}x}(2x+5)
Combine x and x to get 2x.
2x^{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}.
2x^{0}
Subtract 1 from 1.
2\times 1
For any term t except 0, t^{0}=1.
2
For any term t, t\times 1=t and 1t=t.