Differentiate w.r.t. x
-\frac{20}{x^{6}}
Evaluate
\frac{4}{x^{5}}
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-5\times 4x^{-5-1}
The derivative of ax^{n} is nax^{n-1}.
-20x^{-5-1}
Multiply -5 times 4.
-20x^{-6}
Subtract 1 from -5.
Examples
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\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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