Differentiate w.r.t. x
2x+1
Evaluate
x^{2}+x+3
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+3+x)
Add 1 and 2 to get 3.
2x^{2-1}+x^{1-1}
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}.
2x^{1}+x^{1-1}
Subtract 1 from 2.
2x^{1}+x^{0}
Subtract 1 from 1.
2x+x^{0}
For any term t, t^{1}=t.
2x+1
For any term t except 0, t^{0}=1.
x^{2}+3+x
Add 1 and 2 to get 3.
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
\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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