Find the Derivative $\frac { \mathrm { d } } { \mathrm { dt } } \int _ { 0 } ^ { \sin t } \frac { 1 } { 1 - \mathrm { u } ^ { 2 } } \mathrm { du }$

question 284

Multiple Choice

Find the derivative.
- $\frac { \mathrm { d } } { \mathrm { dt } } \int _ { 0 } ^ { \sin t } \frac { 1 } { 1 - \mathrm { u } ^ { 2 } } \mathrm { du }$

• A) \(\frac { - \cos t } { 1 - \sin ^ { 2 } t }\)
• B) \(\frac { 1 } { 1 - \sin ^ { 2 } t }\)
• C) \(\frac { \cos t } { 1 - \sin ^ { 2 } t }\)
• D) \(\frac { 1 } { \cos t \left( 1 - \sin ^ { 2 } t \right) }\)

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