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

Question 253

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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