What is the derivative of ln(4sec(x)) ?

The derivative of ln(4sec(x)) is tan(x)

What is the first derivative of ln(4sec(x)) ?

The first derivative of ln(4sec(x)) is tan(x)

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\frac{d}{d x} (ln (4 sec (x)))

tan (x)

Solution steps

\frac{d}{d x} (ln (4 sec (x)))

Apply the chain rule:

\frac{1}{4 sec ( x )} \frac{d}{d x} (4 sec (x))

= \frac{1}{4 sec ( x )} \frac{d}{d x} (4 sec (x))

\frac{d}{d x} (4 sec (x)) = 4 sec (x) tan (x)

= \frac{1}{4 sec ( x )} \cdot 4 sec (x) tan (x)

Simplify

\frac{1}{4 sec ( x )} \cdot 4 sec (x) tan (x) : tan (x)

= tan (x)

2 t^{2} - e^{- 1}

n = 1 \sum \infty \frac{1}{4}

f (x) = \frac{x ^{2}}{x + 2}, at x = 2

\int y^{2} e^{x y^{2}} d x

\frac{d}{d x} (4 - x^{2} + 2 arcsin (\frac{x}{2}))

What is the derivative of ln(4sec(x)) ?
The derivative of ln(4sec(x)) is tan(x)
What is the first derivative of ln(4sec(x)) ?
The first derivative of ln(4sec(x)) is tan(x)