Evaluate
12\left(x^{2}+1\right)x^{3}
Differentiate w.r.t. x
60x^{4}+36x^{2}
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6\times 2x^{6-1}+4\times 3x^{4-1}
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}.
12x^{6-1}+4\times 3x^{4-1}
Multiply 6 times 2.
12x^{5}+4\times 3x^{4-1}
Subtract 1 from 6.
12x^{5}+12x^{4-1}
Multiply 4 times 3.
12x^{5}+12x^{3}
Subtract 1 from 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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