What is the derivative of ln(169sin^2(x)) ?

The derivative of ln(169sin^2(x)) is 2cot(x)

What is the first derivative of ln(169sin^2(x)) ?

The first derivative of ln(169sin^2(x)) is 2cot(x)

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derivative of

ln (169 sin^{2} (x))

2 cot (x)

Solution steps

\frac{d}{d x} (ln (169 sin^{2} (x)))

Apply the chain rule:

\frac{1}{169 sin ^{2} ( x )} \frac{d}{d x} (169 sin^{2} (x))

= \frac{1}{169 sin ^{2} ( x )} \frac{d}{d x} (169 sin^{2} (x))

\frac{d}{d x} (169 sin^{2} (x)) = 338 sin (x) cos (x)

= \frac{1}{169 sin ^{2} ( x )} \cdot 338 sin (x) cos (x)

Simplify

\frac{1}{169 sin ^{2} ( x )} \cdot 338 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

2 cos (4 x) + 2 e^{- 0.2 x}

2^{s i n (π x)}

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

(\frac{6 x ^{2}}{6 - x})^{3}

\int \frac{( 1 - x ) y}{x}

What is the derivative of ln(169sin^2(x)) ?
The derivative of ln(169sin^2(x)) is 2cot(x)
What is the first derivative of ln(169sin^2(x)) ?
The first derivative of ln(169sin^2(x)) is 2cot(x)