Differentiate w.r.t. x
-14x
Evaluate
81-7x^{2}
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\frac{\mathrm{d}}{\mathrm{d}x}(-7x^{2}+81)
Combine x^{2} and -8x^{2} to get -7x^{2}.
2\left(-7\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}.
-14x^{2-1}
Multiply 2 times -7.
-14x^{1}
Subtract 1 from 2.
-14x
For any term t, t^{1}=t.
-7x^{2}+81
Combine x^{2} and -8x^{2} to get -7x^{2}.
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