What is the derivative of f(x)=ln(324sin^2(x)) ?

The derivative of f(x)=ln(324sin^2(x)) is 2cot(x)

What is the first derivative of f(x)=ln(324sin^2(x)) ?

The first derivative of f(x)=ln(324sin^2(x)) is 2cot(x)

Popular >

derivative of

f (x) = ln (324 sin^{2} (x))

2 cot (x)

Solution steps

\frac{d}{d x} (ln (324 sin^{2} (x)))

Apply the chain rule:

\frac{1}{324 sin ^{2} ( x )} \frac{d}{d x} (324 sin^{2} (x))

= \frac{1}{324 sin ^{2} ( x )} \frac{d}{d x} (324 sin^{2} (x))

\frac{d}{d x} (324 sin^{2} (x)) = 648 sin (x) cos (x)

= \frac{1}{324 sin ^{2} ( x )} \cdot 648 sin (x) cos (x)

Simplify

\frac{1}{324 sin ^{2} ( x )} \cdot 648 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

\int e^{- 9 t} d t

f (x) = \frac{5 x}{x + 2}, at x = 3

\int_{0}^{1} e^{t} d t

\int p (p + 8)^{5} d p

n = 1 \sum \infty 0.75 \cdot 0. 5^{n - 1}

What is the derivative of f(x)=ln(324sin^2(x)) ?
The derivative of f(x)=ln(324sin^2(x)) is 2cot(x)
What is the first derivative of f(x)=ln(324sin^2(x)) ?
The first derivative of f(x)=ln(324sin^2(x)) is 2cot(x)