Dear Shreya Chandwadkar,

In the first question use the UV formula ...

UV=UV^/ + VU^/

I am getting the answer to be ...

y=x*1 / x ln₁₀ + log₁₀ x

In the second question use the U/V formula...

U/V = VU^/-UV^/ / V²

I am getting the answer to be ..

y= [log₂x - (x-1)*1/xln₂] / (xlog₂)²

Please simplfy the second answer ...for your practice dear !!

Hope this helped you...

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y= x logv10 x

dy/dx= x * logx/log10

        =1/log10[ x d(logx)/dx + logx d(x)/dx]

        =1/log10[ x/x + logx]

        =1/log10[ 1 + logx]

        =1/log10 + logv10 x

as simple as dat!!!!