What is (\partial)/(\partial x)(ln(10x)) ?

The answer to (\partial)/(\partial x)(ln(10x)) is 1/x

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(\partial)/(\partial x)(ln(10x))

\frac{\partial}{\partial x} (ln (10 x))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (ln (10 x))

Apply the chain rule:

\frac{1}{10 x} \frac{\partial}{\partial x} (10 x)

= \frac{1}{10 x} \frac{\partial}{\partial x} (10 x)

\frac{\partial}{\partial x} (10 x) = 10

= \frac{1}{10 x} \cdot 10

Simplify

\frac{1}{10 x} \cdot 10 : \frac{1}{x}

= \frac{1}{x}

\frac{d}{d x} (\frac{x}{lo g _{e} ( x )})

\frac{d}{d x} (b e^{- x})

\int (x^{\frac{3}{2}} + 2 x + 1) d x

h \to 0 lim (\frac{\frac{2}{1 + h} - 2}{h})

- 7 x^{4} + 7 x^{3} - x^{2} + x

What is (\partial)/(\partial x)(ln(10x)) ?
The answer to (\partial)/(\partial x)(ln(10x)) is 1/x