Differentiate w.r.t. x
\frac{x^{2}}{3}
Evaluate
\frac{x^{3}}{9}
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{9}x^{3})
Multiply -3 and -\frac{1}{27} to get \frac{1}{9}.
3\times \frac{1}{9}x^{3-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{3}x^{3-1}
Multiply 3 times \frac{1}{9}.
\frac{1}{3}x^{2}
Subtract 1 from 3.
\frac{1}{9}x^{3}
Multiply -3 and -\frac{1}{27} to get \frac{1}{9}.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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