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