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

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

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

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

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derivative of

ln (sec (x))

tan (x)

Solution steps

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

Apply the chain rule:

\frac{1}{sec ( x )} \frac{d}{d x} (sec (x))

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

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

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

Simplify

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

= tan (x)

x \to 0 lim (x^{2} cos (\frac{6}{x}))

\frac{d}{d x} (\frac{3}{2})

\frac{d}{d x} ((1 + 4 x^{3}) (1 + 2 x^{2}))

\frac{\partial}{\partial x} (- 4 x y (- 3 - x - y))

\frac{\partial}{\partial s} (s + 2 t)

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