What is the derivative of ln(225sin^2(x)) ?

The derivative of ln(225sin^2(x)) is 2cot(x)

What is the first derivative of ln(225sin^2(x)) ?

The first derivative of ln(225sin^2(x)) is 2cot(x)

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derivative of

ln (225 sin^{2} (x))

2 cot (x)

Solution steps

\frac{d}{d x} (ln (225 sin^{2} (x)))

Apply the chain rule:

\frac{1}{225 sin ^{2} ( x )} \frac{d}{d x} (225 sin^{2} (x))

= \frac{1}{225 sin ^{2} ( x )} \frac{d}{d x} (225 sin^{2} (x))

\frac{d}{d x} (225 sin^{2} (x)) = 450 sin (x) cos (x)

= \frac{1}{225 sin ^{2} ( x )} \cdot 450 sin (x) cos (x)

Simplify

\frac{1}{225 sin ^{2} ( x )} \cdot 450 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

y = \frac{1}{x}

\int_{1}^{\infty} x^{- 3} d x

y^{^{'}} - 5 y = 4 e^{7 t}

x \to 0 lim (x^{2} + a x + 2)

2 t^{2} - 3 t - 1

What is the derivative of ln(225sin^2(x)) ?
The derivative of ln(225sin^2(x)) is 2cot(x)
What is the first derivative of ln(225sin^2(x)) ?
The first derivative of ln(225sin^2(x)) is 2cot(x)