Evaluate
47-49x^{2}
Differentiate w.r.t. x
-98x
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31+16-49x^{2}
Subtract 10 from 41 to get 31.
47-49x^{2}
Add 31 and 16 to get 47.
\frac{\mathrm{d}}{\mathrm{d}x}(31+16-49x^{2})
Subtract 10 from 41 to get 31.
\frac{\mathrm{d}}{\mathrm{d}x}(47-49x^{2})
Add 31 and 16 to get 47.
2\left(-49\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}.
-98x^{2-1}
Multiply 2 times -49.
-98x^{1}
Subtract 1 from 2.
-98x
For any term t, t^{1}=t.
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