Differentiate w.r.t. x
3x\left(x+8\right)
Evaluate
x^{3}+12x^{2}+112
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+12x^{2}+112)
Add 48 and 64 to get 112.
3x^{3-1}+2\times 12x^{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}.
3x^{2}+2\times 12x^{2-1}
Subtract 1 from 3.
3x^{2}+24x^{2-1}
Multiply 2 times 12.
3x^{2}+24x^{1}
Subtract 1 from 2.
3x^{2}+24x
For any term t, t^{1}=t.
x^{3}+12x^{2}+112
Add 48 and 64 to get 112.
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