Let $f ( x , y ) = \int _ { 0 } ^ { x y } \sin \left( t ^ { 2 } \right) d t$

question 253

Multiple Choice

Let $f ( x , y ) = \int _ { 0 } ^ { x y } \sin \left( t ^ { 2 } \right) d t$ . Find $f _ { x } \left( 1 , \sqrt { \frac { \pi } { 2 } } \right)$ .

• A)0
• B) \(\sqrt { \frac { \pi } { 2 } }\)
• C) \(\frac { \pi } { 2 }\)
• D)3
• E)4
• F) \(- 1\)
• G) \(- \sqrt { \frac { \pi } { 2 } }\)
• H) \(- 3\)

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