Differentiate the following function with respect of `x :(log)_(x^2)x`

Answer

`frac{d (log)_{x^2}x}{d x}=0`

Explanation

We have the function:

`y=(log)_(x^2)x`

Using the property:

`\log _{b} a=\frac{\log_{e}a}{\log _{e} b}`

`y=\frac{\log_{e}x}{\log _{e} x^{2}}`

`y=\frac{\log_{e}x}{\2log _{e} x}`

`y=1/2`

Now differentiating the function:

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