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

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

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

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

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العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (ln (2 x)) = \frac{1}{x}

= cos (ln (2 x)) \frac{1}{x}

Simplify

cos (ln (2 x)) \frac{1}{x} : \frac{cos ( ln ( 2 x ) )}{x}

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

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

\int \frac{e ^{x^{2}}}{x ^{2}} d x

\frac{d}{d x} (- cos^{3} (x))

\int_{0}^{π} 5 sin^{2} (x co) s^{4} x d x

\frac{d}{d x} (e^{x} cot (y) + 2 y csc (y))

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