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Popular >

derivative of ln(196sin^2(x))

Solution

derivative of

ln (196 sin^{2} (x))

Solution

2 cot (x)

Solution steps

\frac{d}{d x} (ln (196 sin^{2} (x)))

Apply the chain rule:

\frac{1}{196 sin ^{2} ( x )} \frac{d}{d x} (196 sin^{2} (x))

= \frac{1}{196 sin ^{2} ( x )} \frac{d}{d x} (196 sin^{2} (x))

\frac{d}{d x} (196 sin^{2} (x)) = 392 sin (x) cos (x)

= \frac{1}{196 sin ^{2} ( x )} \cdot 392 sin (x) cos (x)

Simplify

\frac{1}{196 sin ^{2} ( x )} \cdot 392 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

Popular Examples

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\int \frac{1}{5 - 7 x} d x

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y^{^{''''}} + 4 y^{^{''}} + 4 y = 0

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\frac{\partial}{\partial x} (2 x y^{2} - 2 x^{3} y)

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n = 0 \sum \infty \frac{( ( 1 ) ^{n} )}{n}

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Frequently Asked Questions (FAQ)

What is the derivative of ln(196sin^2(x)) ?
The derivative of ln(196sin^2(x)) is 2cot(x)
What is the first derivative of ln(196sin^2(x)) ?
The first derivative of ln(196sin^2(x)) is 2cot(x)