Q.

If y=xx+x7+7x+77, then dydx=

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By Expert Faculty of Sri Chaitanya

a

x.xx-1+7x6+x7x-1

b

xx1+logex+7x6+7xloge7

c

xx1+logex+7x6+x.7x-1

d

x.xx-1logex+7x6+7xlog7e

answer is B.

(Detailed Solution Below)

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Detailed Solution

Given y=xx+x7+7x+77

Use the formula ddxxx=xx1+logx to differentiate the above function 

dydx=xx1+logx+7x6+7xlog7+0 =xx1+logx+7x6+7xlog7

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