What is derivative of y(s)=ln(ln(7s)) ?

The answer to derivative of y(s)=ln(ln(7s)) is (dy)/(dx)=(1-xyln(7x))/(x^2ln(7x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y(s)=ln(ln(7s))

derivative of

y = ln (ln (7 x))

\frac{d y}{d x} = \frac{1 - x y ln ( 7 x )}{x ^{2} ln ( 7 x )}

Solution steps

y x = ln (ln (7 x))

Treat

y

y (x)

Differentiate both sides:

x \frac{d y}{d x} + y = \frac{1}{x ln ( 7 x )}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1 - x y ln ( 7 x )}{x ^{2} ln ( 7 x )}

\frac{d y}{d x} = \frac{1 - x y ln ( 7 x )}{x ^{2} ln ( 7 x )}

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

\int_{2}^{5} e^{- x} d x

\frac{\partial}{\partial y} (3 y^{2} cos (4 x))

(4 + x) \frac{d y}{d x} + y = 4 + x

What is derivative of y(s)=ln(ln(7s)) ?
The answer to derivative of y(s)=ln(ln(7s)) is (dy)/(dx)=(1-xyln(7x))/(x^2ln(7x))