$\text { Differentiate the function } f ( x ) = \ln \left( \frac { e ^ { 5 x } + 1 } { e ^ { 2 x } + 1 } \right) \text {. }$

question 84

Multiple Choice

$\text { Differentiate the function } f ( x ) = \ln \left( \frac { e ^ { 5 x } + 1 } { e ^ { 2 x } + 1 } \right) \text {. }$

• A) \(\frac { 2 e ^ { 2 x } + 1 } { 5 e ^ { 2 x } + 1 }\)
• B) \(\frac { 5 e ^ { 5 x } } { e ^ { 5 x } + 1 } - \frac { 2 e ^ { 2 x } } { e ^ { 2 x } + 1 }\)
• C) \(\frac { 5 e ^ { 5 x } } { e ^ { 5 x } + 1 } + \frac { 2 e ^ { 2 x } } { e ^ { 2 x } + 1 }\)
• D) \(\frac { e ^ { 2 x } + 1 } { e ^ { 5 x } + 1 }\)
• E) \(\frac { e ^ { 5 x } } { e ^ { 5 x } + 1 } + \frac { e ^ { 2 x } } { e ^ { 2 x } + 1 }\)

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