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

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

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

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

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derivative of

ln (3^{x})

ln (3)

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply the common derivative:

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

= ln (3) \cdot 1

Simplify

= ln (3)

y = 3 e^{x} cos (x)

\int (\frac{x}{7} - \frac{3}{4} x^{4}) d x

2 t^{2} y^{^{''}} + 3 t y^{^{'}} - y = 0

\int_{0}^{\infty} e^{- \frac{x}{2}} d x

\int_{0}^{3} (3 x - x^{2}) d x

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