Evaluate
\left(x-6\right)x^{2}
Differentiate w.r.t. x
3x\left(x-4\right)
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4\times \frac{1}{4}x^{4-1}+3\left(-2\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}.
x^{4-1}+3\left(-2\right)x^{3-1}
Multiply 4 times \frac{1}{4}.
x^{3}+3\left(-2\right)x^{3-1}
Subtract 1 from 4.
x^{3}-6x^{3-1}
Multiply 3 times -2.
x^{3}-6x^{2}
Subtract 1 from 3.
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Matrix
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Simultaneous equation
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Integration
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Limits
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