What is the derivative of sin(3ln(x)) ?

The derivative of sin(3ln(x)) is (3cos(3ln(x)))/x

What is the first derivative of sin(3ln(x)) ?

The first derivative of sin(3ln(x)) is (3cos(3ln(x)))/x

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derivative of

sin (3 ln (x))

\frac{3 cos ( 3 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (sin (3 ln (x)))

Apply the chain rule:

cos (3 ln (x)) \frac{d}{d x} (3 ln (x))

= cos (3 ln (x)) \frac{d}{d x} (3 ln (x))

\frac{d}{d x} (3 ln (x)) = \frac{3}{x}

= cos (3 ln (x)) \frac{3}{x}

Multiply fractions:

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

= \frac{3 cos ( 3 ln ( x ) )}{x}

What is the derivative of sin(3ln(x)) ?
The derivative of sin(3ln(x)) is (3cos(3ln(x)))/x
What is the first derivative of sin(3ln(x)) ?
The first derivative of sin(3ln(x)) is (3cos(3ln(x)))/x