Differentiate w.r.t. x
-3x^{2}
Evaluate
-x^{3}-6
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(-x^{3}-6)
Combine -2x^{3} and x^{3} to get -x^{3}.
3\left(-1\right)x^{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}.
-3x^{3-1}
Multiply 3 times -1.
-3x^{2}
Subtract 1 from 3.
-x^{3}-6
Combine -2x^{3} and x^{3} to get -x^{3}.
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