Differentiate w.r.t. x
4x
Evaluate
2x^{2}
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\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2})
Combine 4x^{2} and -2x^{2} to get 2x^{2}.
2\times 2x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
4x^{2-1}
Multiply 2 times 2.
4x^{1}
Subtract 1 from 2.
4x
For any term t, t^{1}=t.
2x^{2}
Combine 4x^{2} and -2x^{2} to get 2x^{2}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}