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Find derivatives of the following functi...

Find derivatives of the following function.
`x^(sin x)`

Text Solution

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`y=x^(sinx)`
rArrIn y =sin xcdotIn x`
`rArr1/ydy/dx=cosxIn x+sinxcdot1/x`
`rArrdy/dx=x^(sinx)(cosxcdotIn x+(sinx)/x)`
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