What is the derivative of ln(256sin^2(x)) ?

The derivative of ln(256sin^2(x)) is 2cot(x)

What is the first derivative of ln(256sin^2(x)) ?

The first derivative of ln(256sin^2(x)) is 2cot(x)

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derivative of

ln (256 sin^{2} (x))

2 cot (x)

Solution steps

\frac{d}{d x} (ln (256 sin^{2} (x)))

Apply the chain rule:

\frac{1}{256 sin ^{2} ( x )} \frac{d}{d x} (256 sin^{2} (x))

= \frac{1}{256 sin ^{2} ( x )} \frac{d}{d x} (256 sin^{2} (x))

\frac{d}{d x} (256 sin^{2} (x)) = 512 sin (x) cos (x)

= \frac{1}{256 sin ^{2} ( x )} \cdot 512 sin (x) cos (x)

Simplify

\frac{1}{256 sin ^{2} ( x )} \cdot 512 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

\frac{d y}{d x} = (\frac{2 y + 7}{8 x + 9})^{2}

3 x, 27

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

\frac{\partial}{\partial y} (e^{x - 2 y})

\int_{0}^{1} x y d x

What is the derivative of ln(256sin^2(x)) ?
The derivative of ln(256sin^2(x)) is 2cot(x)
What is the first derivative of ln(256sin^2(x)) ?
The first derivative of ln(256sin^2(x)) is 2cot(x)