Differentiate w.r.t. x
4x\left(6x-7\right)
Evaluate
8x^{3}-14x^{2}+3
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\frac{\mathrm{d}}{\mathrm{d}x}(8x^{3}-14x^{2}+3)
Combine -12x^{2} and -2x^{2} to get -14x^{2}.
3\times 8x^{3-1}+2\left(-14\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}.
24x^{3-1}+2\left(-14\right)x^{2-1}
Multiply 3 times 8.
24x^{2}+2\left(-14\right)x^{2-1}
Subtract 1 from 3.
24x^{2}-28x^{2-1}
Multiply 2 times -14.
24x^{2}-28x^{1}
Subtract 1 from 2.
24x^{2}-28x
For any term t, t^{1}=t.
8x^{3}-14x^{2}+3
Combine -12x^{2} and -2x^{2} to get -14x^{2}.
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