Find the Derivative $$s = \frac { 5 e ^ { t } } { 2 e ^ { t } + 1 }$$

question 57

Multiple Choice

Find the derivative.
- $$s = \frac { 5 e ^ { t } } { 2 e ^ { t } + 1 }$$

• A) \(\frac { 5 \mathrm { e } ^ { \mathrm { t } } } { \left( 2 \mathrm { e } ^ { \mathrm { t } } + 1 \right) ^ { 3 } }\)
• B) \(\frac { 5 \mathrm { e } ^ { \mathrm { t } } } { \left( 2 \mathrm { e } ^ { \mathrm { t } } + 1 \right) ^ { 2 } }\)
• C) \(\frac { 5 e ^ { t } } { \left( 2 e ^ { t } + 1 \right) }\)
• D) \(\frac { e ^ { t } } { \left( 2 e ^ { t } + 1 \right) ^ { 2 } }\)

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