What is the derivative of 1-ln(cos(x)) ?

The derivative of 1-ln(cos(x)) is tan(x)

What is the first derivative of 1-ln(cos(x)) ?

The first derivative of 1-ln(cos(x)) is tan(x)

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\frac{d}{d x} (1 - ln (cos (x)))

tan (x)

Solution steps

\frac{d}{d x} (1 - ln (cos (x)))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (ln (cos (x))) = - tan (x)

= 0 - (- tan (x))

Simplify

= tan (x)

f (x) = \frac{x ^{2} - 4}{x - 3}

x \to - \infty lim (a^{x})

\int y^{2} ln (y) d y

\int \frac{x + 1}{x ^{2} - x + 1} d x

x \to 0 lim (x + x)

What is the derivative of 1-ln(cos(x)) ?
The derivative of 1-ln(cos(x)) is tan(x)
What is the first derivative of 1-ln(cos(x)) ?
The first derivative of 1-ln(cos(x)) is tan(x)