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

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

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

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

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derivative of

f (x) = 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}

\frac{d v}{d v}

x \to 0 + lim (x^{19 x})

arcsin (6 x) + arccos (6 x)

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

\frac{23}{( 8 x - 1 ) ^{2}}

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