Evaluate
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Differentiate w.r.t. x
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5x+2y-2y+x
Combine 10x and -5x to get 5x.
5x+x
Combine 2y and -2y to get 0.
6x
Combine 5x and x to get 6x.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+2y-2y+x)
Combine 10x and -5x to get 5x.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+x)
Combine 2y and -2y to get 0.
\frac{\mathrm{d}}{\mathrm{d}x}(6x)
Combine 5x and x 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.