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

The derivative of cosh(ln(x)) is (sinh(ln(x)))/x

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

The first derivative of cosh(ln(x)) is (sinh(ln(x)))/x

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

\frac{sinh ( ln ( x ) )}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

sinh (ln (x)) \frac{1}{x} : \frac{sinh ( ln ( x ) )}{x}

= \frac{sinh ( ln ( x ) )}{x}

\int_{0}^{2} 6 d x

\int \frac{1}{x x - 1} d x

e^{- \frac{h}{7}}

\frac{d}{d x} (x \cdot e^{- x^{2}})

x \to 0 + lim ((tan (6 x))^{2})

What is the derivative of cosh(ln(x)) ?
The derivative of cosh(ln(x)) is (sinh(ln(x)))/x
What is the first derivative of cosh(ln(x)) ?
The first derivative of cosh(ln(x)) is (sinh(ln(x)))/x