Differentiate w.r.t. x
24\left(x-1\right)x^{2}
Evaluate
6x^{4}-8x^{3}+67
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(6x^{4}-8x^{3}+67)
Subtract 1 from 68 to get 67.
4\times 6x^{4-1}+3\left(-8\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}.
24x^{4-1}+3\left(-8\right)x^{3-1}
Multiply 4 times 6.
24x^{3}+3\left(-8\right)x^{3-1}
Subtract 1 from 4.
24x^{3}-24x^{3-1}
Multiply 3 times -8.
24x^{3}-24x^{2}
Subtract 1 from 3.
6x^{4}-8x^{3}+67
Subtract 1 from 68 to get 67.
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