What is the derivative of ln(36sin^2(x)) ?

The derivative of ln(36sin^2(x)) is 2cot(x)

What is the first derivative of ln(36sin^2(x)) ?

The first derivative of ln(36sin^2(x)) is 2cot(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} (ln (36 sin^{2} (x)))

2 cot (x)

Solution steps

\frac{d}{d x} (ln (36 sin^{2} (x)))

Apply the chain rule:

\frac{1}{36 sin ^{2} ( x )} \frac{d}{d x} (36 sin^{2} (x))

= \frac{1}{36 sin ^{2} ( x )} \frac{d}{d x} (36 sin^{2} (x))

\frac{d}{d x} (36 sin^{2} (x)) = 72 sin (x) cos (x)

= \frac{1}{36 sin ^{2} ( x )} \cdot 72 sin (x) cos (x)

Simplify

\frac{1}{36 sin ^{2} ( x )} \cdot 72 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

ln (x + 6 + x^{2})

x^{5 x}

\int 12 e^{2 t} d t

y = 1 - 4 x, at x = - 1

What is the derivative of ln(36sin^2(x)) ?
The derivative of ln(36sin^2(x)) is 2cot(x)
What is the first derivative of ln(36sin^2(x)) ?
The first derivative of ln(36sin^2(x)) is 2cot(x)