Differentiate w.r.t. a
4a
Evaluate
2a^{2}
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\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}\times 2)
Multiply a and a to get a^{2}.
2\times 2a^{2-1}
The derivative of ax^{n} is nax^{n-1}.
4a^{2-1}
Multiply 2 times 2.
4a^{1}
Subtract 1 from 2.
4a
For any term t, t^{1}=t.
a^{2}\times 2
Multiply a and a to get a^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}