What is the derivative of cos(2ln(x)) ?

The derivative of cos(2ln(x)) is -(2sin(2ln(x)))/x

What is the first derivative of cos(2ln(x)) ?

The first derivative of cos(2ln(x)) is -(2sin(2ln(x)))/x

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\frac{d}{d x} (cos (2 ln (x)))

- \frac{2 sin ( 2 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (cos (2 ln (x)))

Apply the chain rule:

- sin (2 ln (x)) \frac{d}{d x} (2 ln (x))

= - sin (2 ln (x)) \frac{d}{d x} (2 ln (x))

\frac{d}{d x} (2 ln (x)) = \frac{2}{x}

= - sin (2 ln (x)) \frac{2}{x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{2 sin ( 2 ln ( x ) )}{x}

\int \frac{10}{r ^{2} + 1} d r

y = 8 - 8 x^{2}, y = 0

6 x^{9} e^{x}

\frac{d}{d x} ((1 - x - x^{3}) (1 - x + x^{3}))

\frac{\partial}{\partial x} (ln (y - x) - \frac{x}{y - x})

What is the derivative of cos(2ln(x)) ?
The derivative of cos(2ln(x)) is -(2sin(2ln(x)))/x
What is the first derivative of cos(2ln(x)) ?
The first derivative of cos(2ln(x)) is -(2sin(2ln(x)))/x