What is the derivative of y=ln(cos(x)) ?

The derivative of y=ln(cos(x)) is -tan(x)

What is the first derivative of y=ln(cos(x)) ?

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

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derivative of

y = ln (cos (x))

- tan (x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= \frac{1}{cos ( x )} (- sin (x))

Simplify

\frac{1}{cos ( x )} (- sin (x)) : - tan (x)

= - tan (x)

\frac{d}{d x} ((ln (x^{2} - 3))^{3})

\frac{d y}{d x}, x^{2} + y^{2} = 4

y = lo g_{3} (8 x - 1)

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

y^{^{'}} + \frac{y}{6960} = 0.0025862069

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