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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times 3+5)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3\times 3x^{3-1}
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}.
9x^{3-1}
Multiply 3 times 3.
9x^{2}
Subtract 1 from 3.
x^{3}\times 3+5
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.