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If y = e^( sin x^3) , find (dy)/( dx)....

If `y = e^( sin x^3) `, find `(dy)/( dx)`.

Text Solution

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`2x + 3y = sin y `
Differentiate both sides w.r.r. x
`2 + 3 (dt)/(dx)= cos y(dy)/(dx)`
`rArr 2 = (cos y - 3 ) (dy)/(dx) rArr (dy)/(dx) = (2)/(cos y - 3)`
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