What is x(\partial)/(\partial x)(y)+ln(xy)+x ?

The solution to x(\partial)/(\partial x)(y)+ln(xy)+x is x(\partial)/(\partial x)(y)+ln(x)+ln(y)+x

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simplify x(\partial)/(\partial x)(y)+ln(xy)+x

simplify

x \frac{\partial}{\partial x} (y) + ln (x y) + x

x \frac{\partial}{\partial x} (y) + ln (x) + ln (y) + x

Solution steps

x \frac{\partial}{\partial x} (y) + ln (x y) + x

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x y) = ln (x) + ln (y)

= x \frac{\partial}{\partial x} (y) + ln (x) + ln (y) + x

ln (\frac{95 \cdot 1 0 ^{12} ( 2.5 )}{1 0 ^{- 3}})

ln (2) - \frac{1}{2} ln (3)

(\frac{1}{2}) (3 ln (x + 3) + ln (x) - ln (x^{2} - 1))

ln (\frac{1643.85}{547.85}) \cdot 10

\frac{1}{2} ln (\frac{u - a}{u + a})

What is x(\partial)/(\partial x)(y)+ln(xy)+x ?
The solution to x(\partial)/(\partial x)(y)+ln(xy)+x is x(\partial)/(\partial x)(y)+ln(x)+ln(y)+x