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Evaluate
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Differentiate w.r.t. x
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5x-5+2x+8
Combine 3x and 2x to get 5x.
7x-5+8
Combine 5x and 2x to get 7x.
7x+3
Add -5 and 8 to get 3.
\frac{\mathrm{d}}{\mathrm{d}x}(5x-5+2x+8)
Combine 3x and 2x to get 5x.
\frac{\mathrm{d}}{\mathrm{d}x}(7x-5+8)
Combine 5x and 2x to get 7x.
\frac{\mathrm{d}}{\mathrm{d}x}(7x+3)
Add -5 and 8 to get 3.
7x^{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}.
7x^{0}
Subtract 1 from 1.
7\times 1
For any term t except 0, t^{0}=1.
7
For any term t, t\times 1=t and 1t=t.