What is the derivative of (ln(cos^2(x))^2) ?

The derivative of (ln(cos^2(x))^2) is -4ln(cos^2(x))tan(x)

What is the first derivative of (ln(cos^2(x))^2) ?

The first derivative of (ln(cos^2(x))^2) is -4ln(cos^2(x))tan(x)

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\frac{d}{d x} ((ln (cos^{2} (x)))^{2})

- 4 ln (cos^{2} (x)) tan (x)

Solution steps

\frac{d}{d x} ((ln (cos^{2} (x)))^{2})

Apply the chain rule:

2 ln (cos^{2} (x)) \frac{d}{d x} (ln (cos^{2} (x)))

= 2 ln (cos^{2} (x)) \frac{d}{d x} (ln (cos^{2} (x)))

\frac{d}{d x} (ln (cos^{2} (x))) = - 2 tan (x)

= 2 ln (cos^{2} (x)) (- 2 tan (x))

Simplify

= - 4 ln (cos^{2} (x)) tan (x)

3 (x^{3} - x), 0, - 1, 0

\int \frac{z}{z ^{2} + 1} d z

\frac{d}{d t} (arctan (t))

y = (x + 1)^{2}

\frac{d y}{d x} = - x e^{y}

What is the derivative of (ln(cos^2(x))^2) ?
The derivative of (ln(cos^2(x))^2) is -4ln(cos^2(x))tan(x)
What is the first derivative of (ln(cos^2(x))^2) ?
The first derivative of (ln(cos^2(x))^2) is -4ln(cos^2(x))tan(x)