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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-5x^{2})
Combine -x^{2} and -4x^{2} to get -5x^{2}.
2\left(-5\right)x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-10x^{2-1}
Multiply 2 times -5.
-10x^{1}
Subtract 1 from 2.
-10x
For any term t, t^{1}=t.
-5x^{2}
Combine -x^{2} and -4x^{2} to get -5x^{2}.