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Evaluate
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Differentiate w.r.t. x
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7x-2-3.6+x+4+2x
Combine 3x and 4x to get 7x.
7x-5.6+x+4+2x
Subtract 3.6 from -2 to get -5.6.
8x-5.6+4+2x
Combine 7x and x to get 8x.
8x-1.6+2x
Add -5.6 and 4 to get -1.6.
10x-1.6
Combine 8x and 2x to get 10x.
\frac{\mathrm{d}}{\mathrm{d}x}(7x-2-3.6+x+4+2x)
Combine 3x and 4x to get 7x.
\frac{\mathrm{d}}{\mathrm{d}x}(7x-5.6+x+4+2x)
Subtract 3.6 from -2 to get -5.6.
\frac{\mathrm{d}}{\mathrm{d}x}(8x-5.6+4+2x)
Combine 7x and x to get 8x.
\frac{\mathrm{d}}{\mathrm{d}x}(8x-1.6+2x)
Add -5.6 and 4 to get -1.6.
\frac{\mathrm{d}}{\mathrm{d}x}(10x-1.6)
Combine 8x and 2x to get 10x.
10x^{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}.
10x^{0}
Subtract 1 from 1.
10\times 1
For any term t except 0, t^{0}=1.
10
For any term t, t\times 1=t and 1t=t.