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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{34}+256)
Calculate 2 to the power of 8 and get 256.
34x^{34-1}
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}.
34x^{33}
Subtract 1 from 34.
x^{34}+256
Calculate 2 to the power of 8 and get 256.