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Evaluate
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Differentiate w.r.t. x
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x^{2}+1202\sqrt{2}x-3\times 1440000
Calculate 1200 to the power of 2 and get 1440000.
x^{2}+1202\sqrt{2}x-4320000
Multiply 3 and 1440000 to get 4320000.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+1202\sqrt{2}x-3\times 1440000)
Calculate 1200 to the power of 2 and get 1440000.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+1202\sqrt{2}x-4320000)
Multiply 3 and 1440000 to get 4320000.
2x^{2-1}+1202\sqrt{2}x^{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}.
2x^{1}+1202\sqrt{2}x^{1-1}
Subtract 1 from 2.
2x^{1}+1202\sqrt{2}x^{0}
Subtract 1 from 1.
2x+1202\sqrt{2}x^{0}
For any term t, t^{1}=t.
2x+1202\sqrt{2}\times 1
For any term t except 0, t^{0}=1.
2x+1202\sqrt{2}
For any term t, t\times 1=t and 1t=t.