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Evaluate
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Differentiate w.r.t. x
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5x+2x+3x
Combine x and 4x to get 5x.
7x+3x
Combine 5x and 2x to get 7x.
10x
Combine 7x and 3x to get 10x.
\frac{\mathrm{d}}{\mathrm{d}x}(5x+2x+3x)
Combine x and 4x to get 5x.
\frac{\mathrm{d}}{\mathrm{d}x}(7x+3x)
Combine 5x and 2x to get 7x.
\frac{\mathrm{d}}{\mathrm{d}x}(10x)
Combine 7x and 3x to get 10x.
10x^{1-1}
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.