1.

Differentiate.x^(sqrtx)

Answer»

SOLUTION :`y=X^(SQRTX)`
In `y=sqrtxcdotInxrArr1/2dy/dx=1/(2sqrtx)Cdot In x+sqrtxcdot1/x`
`rArr dy/dx=x^(sqrtx){(Inx)/(2sqrtx)+1/sqrtx}=x^(sqrtx)(Inesqrtx)/sqrtx`


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