(ln(x/4))^'

Solution

(ln (\frac{x}{4}))^{^{'}}

\frac{1}{x}

Solution steps

(ln (\frac{x}{4}))^{'}

Apply the chain rule:

\frac{1}{\frac{x}{4}} (\frac{x}{4})^{'}

= \frac{1}{\frac{x}{4}} (\frac{x}{4})^{'}

(\frac{x}{4})^{'} = \frac{1}{4}

= \frac{1}{\frac{x}{4}} \cdot \frac{1}{4}

Simplify

\frac{1}{\frac{x}{4}} \cdot \frac{1}{4} : \frac{1}{x}

= \frac{1}{x}

\int 2 x (2 - x) d x

3^{2^{x^{2}}}

x \to 0 lim (\frac{sin ( x ^{7} )}{x})

x \to - 2 + lim (\frac{- 1}{x ^{2} - 4})

\int s 5^{s} d s