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Evaluate
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Differentiate w.r.t. x
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12x-8x+4x-2x
Combine 3x and 9x to get 12x.
4x+4x-2x
Combine 12x and -8x to get 4x.
8x-2x
Combine 4x and 4x to get 8x.
6x
Combine 8x and -2x to get 6x.
\frac{\mathrm{d}}{\mathrm{d}x}(12x-8x+4x-2x)
Combine 3x and 9x to get 12x.
\frac{\mathrm{d}}{\mathrm{d}x}(4x+4x-2x)
Combine 12x and -8x to get 4x.
\frac{\mathrm{d}}{\mathrm{d}x}(8x-2x)
Combine 4x and 4x to get 8x.
\frac{\mathrm{d}}{\mathrm{d}x}(6x)
Combine 8x and -2x to get 6x.
6x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
6x^{0}
Subtract 1 from 1.
6\times 1
For any term t except 0, t^{0}=1.
6
For any term t, t\times 1=t and 1t=t.