(ln|x|)^'

Solution

(ln ∣ x ∣)^{^{'}}

\frac{1}{x}

Solution steps

(ln ∣ x ∣)^{'}

Apply the chain rule:

\frac{1}{∣ x ∣} (∣ x ∣)^{'}

= \frac{1}{∣ x ∣} (∣ x ∣)^{'}

(∣ x ∣)^{'} = \frac{x}{∣ x ∣}

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

Simplify

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

= \frac{1}{x}

f (x) = x^{11} arccot (x)

2 y^{^{''}} - 3 y^{^{'}} + y = 0

y = x^{2} - 5 x + 5, (0, 5)

x \to 5 lim (lo g_{3} (x - 5))

\int 3 tan^{2} (x) sec (x) d x