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

The derivative of y=3ln(ln(x)) is 3/(xln(x))

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

The first derivative of y=3ln(ln(x)) is 3/(xln(x))

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derivative of

y = 3 ln (ln (x))

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

\frac{1}{ln ( x )} \frac{d}{d x} (ln (x))

= \frac{1}{ln ( x )} \frac{d}{d x} (ln (x))

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 3 \cdot \frac{1}{ln ( x )} \cdot \frac{1}{x}

Simplify

3 \cdot \frac{1}{ln ( x )} \cdot \frac{1}{x} : \frac{3}{x ln ( x )}

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

\int e^{\frac{x}{50}} d x

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

\frac{\partial}{\partial y} ((x^{2} + y^{2})^{\frac{1}{3}})

y^{^{'}} - y = 2 t e^{2 t}, y (0) = 1

sin (x y)

What is the derivative of y=3ln(ln(x)) ?
The derivative of y=3ln(ln(x)) is 3/(xln(x))
What is the first derivative of y=3ln(ln(x)) ?
The first derivative of y=3ln(ln(x)) is 3/(xln(x))