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

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

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

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

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derivative of

sin (ln (x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

9 x^{\frac{4}{3}} - \frac{2}{3} x^{\frac{3}{2}} + x^{2} - 3 x + 1

x \to - 211 lim ((5 - x)^{\frac{2}{3}})

\int_{0}^{h} \frac{L ^{2}}{h ^{2}} x^{2} d x

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

\frac{d}{d x} (, x^{2})

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