What is the derivative of ln(1/(csc(x))) ?

The derivative of ln(1/(csc(x))) is cot(x)

What is the first derivative of ln(1/(csc(x))) ?

The first derivative of ln(1/(csc(x))) is cot(x)

Popular >

\frac{d}{d x} (ln (\frac{1}{csc ( x )}))

cot (x)

Solution steps

\frac{d}{d x} (ln (\frac{1}{csc ( x )}))

Simplify

ln (\frac{1}{csc ( x )}) : ln (sin (x))

= \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)

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

Simplify

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

= cot (x)

x \to \infty lim (\frac{e}{x})

x \to 1 - lim (4 x + 1)

f (x) = 5 x^{e} - x^{\frac{5}{3}} + \frac{2}{x ^{3}}

\frac{d}{d x} ((x + 1) ln (x + 1))

\int \frac{y ^{2}}{5} d y

What is the derivative of ln(1/(csc(x))) ?
The derivative of ln(1/(csc(x))) is cot(x)
What is the first derivative of ln(1/(csc(x))) ?
The first derivative of ln(1/(csc(x))) is cot(x)