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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(32x^{2})
Multiply 2 and 16 to get 32.
2\times 32x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
64x^{2-1}
Multiply 2 times 32.
64x^{1}
Subtract 1 from 2.
64x
For any term t, t^{1}=t.
32x^{2}
Multiply 2 and 16 to get 32.