Differentiate w.r.t. a
\frac{3a^{2}}{4}
Evaluate
\frac{a^{3}}{4}
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3\times \frac{1}{4}a^{3-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{3}{4}a^{3-1}
Multiply 3 times \frac{1}{4}.
\frac{3}{4}a^{2}
Subtract 1 from 3.
\frac{1}{4}a^{3}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.
Examples
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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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