What is the derivative of 8ln(sin(x)) ?

The derivative of 8ln(sin(x)) is 8cot(x)

What is the first derivative of 8ln(sin(x)) ?

The first derivative of 8ln(sin(x)) is 8cot(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (8 ln (sin (x)))

8 cot (x)

Solution steps

\frac{d}{d x} (8 ln (sin (x)))

Take the constant out:

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

= 8 \frac{d}{d x} (ln (sin (x)))

Apply the chain rule:

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

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

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

= 8 \cdot \frac{1}{sin ( x )} cos (x)

Simplify

8 \cdot \frac{1}{sin ( x )} cos (x) : 8 cot (x)

= 8 cot (x)

\int e^{6 x} (6) d x

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

\int \frac{6 t ^{3} - t ^{2} + 24 t}{t ^{2} + 4} d t

- \frac{5 s}{( ( s + 1 ) ^{2} + 3 )}

\frac{d}{d x} (e^{x^{3}} y)

What is the derivative of 8ln(sin(x)) ?
The derivative of 8ln(sin(x)) is 8cot(x)
What is the first derivative of 8ln(sin(x)) ?
The first derivative of 8ln(sin(x)) is 8cot(x)