What is the derivative of ln(6sec(x)) ?

The derivative of ln(6sec(x)) is tan(x)

What is the first derivative of ln(6sec(x)) ?

The first derivative of ln(6sec(x)) is tan(x)

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\frac{d}{d x} (ln (6 sec (x)))

tan (x)

Solution steps

\frac{d}{d x} (ln (6 sec (x)))

Apply the chain rule:

\frac{1}{6 sec ( x )} \frac{d}{d x} (6 sec (x))

= \frac{1}{6 sec ( x )} \frac{d}{d x} (6 sec (x))

\frac{d}{d x} (6 sec (x)) = 6 sec (x) tan (x)

= \frac{1}{6 sec ( x )} \cdot 6 sec (x) tan (x)

Simplify

\frac{1}{6 sec ( x )} \cdot 6 sec (x) tan (x) : tan (x)

= tan (x)

f (x) = 2 x^{2} - 3 x + 1, 1, 2

y = 9 x, y = x^{2}

\int \frac{25 x ^{2} - 9}{x ^{3}} d x

z \to 0 lim (\frac{z ^{2}}{z})

\int e^{7 x} cos (6 x) d x

What is the derivative of ln(6sec(x)) ?
The derivative of ln(6sec(x)) is tan(x)
What is the first derivative of ln(6sec(x)) ?
The first derivative of ln(6sec(x)) is tan(x)