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If y= x^(x) +a^(x) +x^(a) +a^(a) ,then ...

If ` y= x^(x) +a^(x) +x^(a) +a^(a) ,then (dy)/(dx)=`

A

` x^(x) (1+log x)+ a^(x) loga + a+ax^(a-1) `

B

` x^(x) (1+log x)+ a^(x) loga + (a-1) x^(a-1) `

C

` x^(x) (1+log x)+ a^(x) loga + ax^(a-2) `

D

` x^(x) (1+log x)+ a^(x) loga + ( a-2)x^(a-2) `

Text Solution

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The correct Answer is:
A
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