What is the derivative of ln(3^{3x}) ?

The derivative of ln(3^{3x}) is 3ln(3)

What is the first derivative of ln(3^{3x}) ?

The first derivative of ln(3^{3x}) is 3ln(3)

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

3 ln (3)

Solution steps

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

Simplify

ln (3^{3 x}) : 3 ln (3) x

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d x}{d x} = 1

= 3 ln (3) \cdot 1

Simplify

= 3 ln (3)

\int_{0}^{\frac{1}{2}} 5 cos (- 1 (x)) d x

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

\frac{\partial}{\partial x} (e^{- \frac{π}{2}})

\int 20 t e^{t} d t

f (x) = 4 x^{2} + 7, (- 3, 43)

What is the derivative of ln(3^{3x}) ?
The derivative of ln(3^{3x}) is 3ln(3)
What is the first derivative of ln(3^{3x}) ?
The first derivative of ln(3^{3x}) is 3ln(3)