What is join derivative of cos(2ln(x))+(107)/(5(x)) ?

The solution to join derivative of cos(2ln(x))+(107)/(5(x)) is derivative of cos(ln(x^2))+(107)/(5x)

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join derivative of cos(2ln(x))+(107)/(5(x))

join

\frac{d}{d x} (cos (2 ln (x))) + \frac{107}{5 ( x )}

\frac{d}{d x} (cos (ln (x^{2}))) + \frac{107}{5 x}

Solution steps

\frac{d}{d x} (cos (2 ln (x))) + \frac{107}{5 ( x )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= \frac{d}{d x} (cos (ln (x^{2}))) + \frac{107}{5 x}

lo g_{15} (\frac{17 - 4 x}{2}) + e^{x^{2} - x - 2}

ln (2 e^{3 x})

- lo g_{10} (2 \cdot 1 0^{- 12})

ln ((θ + 1) x^{θ})

- lo g_{10} (8.1 \cdot 1 0^{- 6})

What is join derivative of cos(2ln(x))+(107)/(5(x)) ?
The solution to join derivative of cos(2ln(x))+(107)/(5(x)) is derivative of cos(ln(x^2))+(107)/(5x)