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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(100x^{2})
Multiply x and x to get x^{2}.
2\times 100x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
200x^{2-1}
Multiply 2 times 100.
200x^{1}
Subtract 1 from 2.
200x
For any term t, t^{1}=t.
100x^{2}
Multiply x and x to get x^{2}.