What is the derivative of y=4ln(cos(x)) ?

The derivative of y=4ln(cos(x)) is -4tan(x)

What is the first derivative of y=4ln(cos(x)) ?

The first derivative of y=4ln(cos(x)) is -4tan(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 4 ln (cos (x))

- 4 tan (x)

Solution steps

\frac{d}{d x} (4 ln (cos (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (ln (cos (x)))

Apply the chain rule:

\frac{1}{cos ( x )} \frac{d}{d x} (cos (x))

= \frac{1}{cos ( x )} \frac{d}{d x} (cos (x))

\frac{d}{d x} (cos (x)) = - sin (x)

= 4 \cdot \frac{1}{cos ( x )} (- sin (x))

Simplify

4 \cdot \frac{1}{cos ( x )} (- sin (x)) : - 4 tan (x)

= - 4 tan (x)

\int \frac{x ^{2} - 4}{x ^{4}} d x

\frac{x}{x + 6}

\int (2 x^{2} - 3)^{5} x d x

y = 24 (x^{3} + 6 x)^{\frac{3}{8}}

\int x (x - 1) (3 - x) d x

What is the derivative of y=4ln(cos(x)) ?
The derivative of y=4ln(cos(x)) is -4tan(x)
What is the first derivative of y=4ln(cos(x)) ?
The first derivative of y=4ln(cos(x)) is -4tan(x)