What is the derivative of sin(5ln(x)) ?

The derivative of sin(5ln(x)) is (5cos(5ln(x)))/x

What is the first derivative of sin(5ln(x)) ?

The first derivative of sin(5ln(x)) is (5cos(5ln(x)))/x

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derivative of

sin (5 ln (x))

\frac{5 cos ( 5 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (sin (5 ln (x)))

Apply the chain rule:

cos (5 ln (x)) \frac{d}{d x} (5 ln (x))

= cos (5 ln (x)) \frac{d}{d x} (5 ln (x))

\frac{d}{d x} (5 ln (x)) = \frac{5}{x}

= cos (5 ln (x)) \frac{5}{x}

Multiply fractions:

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

= \frac{5 cos ( 5 ln ( x ) )}{x}

f (x) = \frac{2 x}{x ^{2} + 1}, at x = 0

x \to \infty lim (- 7 x)

\int \frac{1}{x ^{2} + 14 x} d x

\int e^{2 u} d u

\int (2 t - 3 t^{2}) 4 + 36 t^{2} d t

What is the derivative of sin(5ln(x)) ?
The derivative of sin(5ln(x)) is (5cos(5ln(x)))/x
What is the first derivative of sin(5ln(x)) ?
The first derivative of sin(5ln(x)) is (5cos(5ln(x)))/x