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

The derivative of sec(ln(x)) is (sec(ln(x))tan(ln(x)))/x

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

The first derivative of sec(ln(x)) is (sec(ln(x))tan(ln(x)))/x

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

\frac{sec ( ln ( x ) ) tan ( ln ( x ) )}{x}

Solution steps

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

Apply the chain rule:

sec (ln (x)) tan (ln (x)) \frac{d}{d x} (ln (x))

= sec (ln (x)) tan (ln (x)) \frac{d}{d x} (ln (x))

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

= sec (ln (x)) tan (ln (x)) \frac{1}{x}

Simplify

sec (ln (x)) tan (ln (x)) \frac{1}{x} : \frac{sec ( ln ( x ) ) tan ( ln ( x ) )}{x}

= \frac{sec ( ln ( x ) ) tan ( ln ( x ) )}{x}

\int e^{2 t} sin (t) d t

a^{6} + cos^{6} (x)

\int_{- 3}^{1} (1 + 4 x) d x

x \to 6 lim (2 x - 5)

x \to 2 lim (f (x) x)

What is the derivative of sec(ln(x)) ?
The derivative of sec(ln(x)) is (sec(ln(x))tan(ln(x)))/x
What is the first derivative of sec(ln(x)) ?
The first derivative of sec(ln(x)) is (sec(ln(x))tan(ln(x)))/x