Let $f(x, y)=y^{2}+3 y \int_{3}^{x} \sin \left(e^{t}\right) d t$ Find $f _ { x } ( 3,1 )$ and $f _ { y } ( 3,1 )$ to four decimal places.

Name: Let $f(x, y)=y^{2}+3 y \int_{3}^{x} \sin \left(e^{t}\right) d t$ Find $f _ { x } ( 3,1 )$ and $f _ { y } ( 3,1 )$ to four decimal places.
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The Answer of Let $f(x, y)=y^{2}+3 y \int_{3}^{x} \sin \left(e^{t}\right) d t$ Find $f _ { x } ( 3,1 )$ and $f _ { y } ( 3,1 )$ to four decimal places.

Let f(x,y)=y2+3y∫3xsin⁡(et)dtf(x, y)=y^{2}+3 y \int_{3}^{x} \sin \left(e^{t}\right) d tf(x,y)=y2+3y∫3x​sin(et)dt Find fx(3,1)f _ { x } ( 3,1 )fx​(3,1)

Let $f(x, y)=y^{2}+3 y \int_{3}^{x} \sin \left(e^{t}\right) d t$ Find $f _ { x } ( 3,1 )$