What is the derivative of sin(7ln(x)) ?

The derivative of sin(7ln(x)) is (7cos(7ln(x)))/x

What is the first derivative of sin(7ln(x)) ?

The first derivative of sin(7ln(x)) is (7cos(7ln(x)))/x

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derivative of

sin (7 ln (x))

\frac{7 cos ( 7 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (sin (7 ln (x)))

Apply the chain rule:

cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

= cos (7 ln (x)) \frac{d}{d x} (7 ln (x))

\frac{d}{d x} (7 ln (x)) = \frac{7}{x}

= cos (7 ln (x)) \frac{7}{x}

Multiply fractions:

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

= \frac{7 cos ( 7 ln ( x ) )}{x}

\int sin^{3} (x) cos^{9} (x) d x

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

\frac{\partial}{\partial x} (x + yz)

\int_{1}^{2} \frac{13}{x ^{3} + 2 x} d x

\int \frac{2 x + 1}{x} d x

What is the derivative of sin(7ln(x)) ?
The derivative of sin(7ln(x)) is (7cos(7ln(x)))/x
What is the first derivative of sin(7ln(x)) ?
The first derivative of sin(7ln(x)) is (7cos(7ln(x)))/x