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Find (d^(2)y )/(dx^(2)) , when y =e^(...

Find ` (d^(2)y )/(dx^(2))` , when ` y =e^(x) sin x`

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Given ,` y = e^(x) sin x `
` Rightarrow (dy)/(dx) = e^(x) cos x + sin x. e^(x)`
` = e^(x) (cos x + sin x)`
` and (d^(2)y)/(dx^(2)) = d/(dx) ((dy)/(dx))`
` = d/(dx) (e^(x) (sin x + cos x ))`
` (e^(x) (cos x - sin x) + (sin x + cos x) e^(x))`
` = e^(x) (cos x - sin x + sin x + cos x )`
`=2e^(x) cos x .`
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