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Evaluate
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Differentiate w.r.t. x
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\frac{12^{1}x^{3}}{\left(-3\right)^{1}x^{1}}
Use the rules of exponents to simplify the expression.
\frac{12^{1}x^{3-1}}{\left(-3\right)^{1}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{12^{1}x^{2}}{\left(-3\right)^{1}}
Subtract 1 from 3.
-4x^{2}
Divide 12 by -3.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{-3}x^{3-1})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{2})
Do the arithmetic.
2\left(-4\right)x^{2-1}
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}.
-8x^{1}
Do the arithmetic.
-8x
For any term t, t^{1}=t.