Differentiate w.r.t. x
-\frac{4}{27x^{5}}
Evaluate
\frac{1}{27x^{4}}
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{-4}}{27})
Calculate 3 to the power of 3 and get 27.
-4\times \frac{1}{27}x^{-4-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{4}{27}x^{-4-1}
Multiply -4 times \frac{1}{27}.
-\frac{4}{27}x^{-5}
Subtract 1 from -4.
\frac{x^{-4}}{27}
Calculate 3 to the power of 3 and get 27.
Examples
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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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