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

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

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

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

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derivative of

cos (ln (x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int_{0}^{1} \frac{e ^{- 2 x}}{2} d x

x \to 0 lim (sinh (x) cot (x))

n = 0 \sum \infty n x^{n}

(\frac{3}{4} x)^{3}

\int \frac{49}{x ^{3} - 7 x ^{2}} d x

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