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Differentiate the following w.r.t. x:log...

Differentiate the following w.r.t. x:`log(cose^x)`

Text Solution

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`"Let"y = "log" ("cos" e^(x))`
`(dy)/(dx) = (d)/(dx) " log" ("cos" e^(x))`
`= (1)/("cos"e^(x)) (d)/(dx) "cos"e^(x)`
`= (1)/("cos"e^(x))* (-"sin"e^(x))*(d)/(dx)e^(x)`
`= - e^(x)*"tan"e^(x)`
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