Differentiate w.r.t. a
225a^{4}
Evaluate
45a^{5}
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5\times 45a^{5-1}
The derivative of ax^{n} is nax^{n-1}.
225a^{5-1}
Multiply 5 times 45.
225a^{4}
Subtract 1 from 5.
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.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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