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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(24-x^{2})
Add 17 and 7 to get 24.
2\left(-1\right)x^{2-1}
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^{2-1}
Multiply 2 times -1.
-2x^{1}
Subtract 1 from 2.
-2x
For any term t, t^{1}=t.
24-x^{2}
Add 17 and 7 to get 24.