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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(9x^{4}+1)
Subtract 6 from 7 to get 1.
4\times 9x^{4-1}
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}.
36x^{4-1}
Multiply 4 times 9.
36x^{3}
Subtract 1 from 4.
9x^{4}+1
Subtract 6 from 7 to get 1.