What is the derivative of cos(ln(t)) ?

The derivative of cos(ln(t)) is -(sin(ln(t)))/t

What is the first derivative of cos(ln(t)) ?

The first derivative of cos(ln(t)) is -(sin(ln(t)))/t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cos (ln (t))

- \frac{sin ( ln ( t ) )}{t}

Solution steps

\frac{d}{d t} (cos (ln (t)))

Apply the chain rule:

- sin (ln (t)) \frac{d}{d t} (ln (t))

= - sin (ln (t)) \frac{d}{d t} (ln (t))

\frac{d}{d t} (ln (t)) = \frac{1}{t}

= - sin (ln (t)) \frac{1}{t}

Simplify

- sin (ln (t)) \frac{1}{t} : - \frac{sin ( ln ( t ) )}{t}

= - \frac{sin ( ln ( t ) )}{t}

x \frac{d y}{d x} + 4 y = x^{- 3} e^{x}

\int \frac{x}{2} d x

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

\int 2 y^{\frac{3}{2}} d y

\int tan (8 x + 1) d x

What is the derivative of cos(ln(t)) ?
The derivative of cos(ln(t)) is -(sin(ln(t)))/t
What is the first derivative of cos(ln(t)) ?
The first derivative of cos(ln(t)) is -(sin(ln(t)))/t