Differentiate w.r.t. x
5x
Evaluate
\frac{5x^{2}}{2}
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{2}x^{2})
Combine 2x^{2} and \frac{1}{2}x^{2} to get \frac{5}{2}x^{2}.
2\times \frac{5}{2}x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
5x^{2-1}
Multiply 2 times \frac{5}{2}.
5x^{1}
Subtract 1 from 2.
5x
For any term t, t^{1}=t.
\frac{5}{2}x^{2}
Combine 2x^{2} and \frac{1}{2}x^{2} to get \frac{5}{2}x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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