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Evaluate
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Differentiate w.r.t. y
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0x^{2}-100y^{2}
Multiply 0 and 1 to get 0.
0-100y^{2}
Anything times zero gives zero.
-100y^{2}
Anything plus zero gives itself.
\frac{\mathrm{d}}{\mathrm{d}y}(0x^{2}-100y^{2})
Multiply 0 and 1 to get 0.
\frac{\mathrm{d}}{\mathrm{d}y}(0-100y^{2})
Anything times zero gives zero.
\frac{\mathrm{d}}{\mathrm{d}y}(-100y^{2})
Anything plus zero gives itself.
2\left(-100\right)y^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-200y^{2-1}
Multiply 2 times -100.
-200y^{1}
Subtract 1 from 2.
-200y
For any term t, t^{1}=t.