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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2})
To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.
2\times 6x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
12x^{2-1}
Multiply 2 times 6.
12x^{1}
Subtract 1 from 2.
12x
For any term t, t^{1}=t.
6x^{2}
To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.