Find the Derivative of the Function $\frac { e ^ { - 5 x } } { 5 x e ^ { 5 x } }$

question 27

Multiple Choice

Find the derivative of the function. $\frac { e ^ { - 5 x } } { 5 x e ^ { 5 x } }$

• A) \(- \frac { 10 x - 1 } { 5 x ^ { 2 } e ^ { 10 x } }\)
• B) \(\frac { 10 x + 1 } { 5 x ^ { 2 } e ^ { 10 x } }\)
• C) \(- \frac { 10 x + 1 } { x ^ { 2 } e ^ { 10 x } }\)
• D) \(- \frac { 10 x + 1 } { 5 x ^ { 2 } e ^ { 10 x } }\)
• E) none of these

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Union Victory

The success of the United States (the Union) over the Confederate States in the American Civil War, leading to the preservation of the Union and the abolition of slavery.

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The site of a decisive battle during the American Civil War in September 1862, known as the bloodiest single-day battle in American history.

Emancipation

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