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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = 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}

d er i v a t i v e y = 11 x + 11 x + 11 x

\int x^{2} \cdot cos (x) d x

\int \frac{3 x + 4}{( x ^{2} + 4 ) ( 3 - x )} d x

\frac{d}{d x} (6 cos (4 x))

\int cos^{2} (X) d X

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