1.

Find(dy)/(dx) , wheny = e^(-x^(2)) sin (log x)

Answer»

Solution : Let ` y = e ^(-X^(2)) sin ( log x ) `
`(dy)/(DX)= e^(-x^(2)) d/(dx) ( sin (log x)) + sin ( log x) d/(dx) (e^(-x^(2)))`
` = e^(-x^(2)) . Cos (LOGX ) . 1/x + sin ( log x) e^(-x^(2) (-2X)`


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