What is the derivative derivative of ln(2^x) ?

The derivative derivative of ln(2^x) is ln(2)

What is the first derivative derivative of ln(2^x) ?

The first derivative derivative of ln(2^x) is ln(2)

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derivative of

\frac{d}{d x} (ln (2^{x}))

ln (2)

Solution steps

\frac{d}{d x} (ln (2^{x}))

Simplify

ln (2^{x}) : ln (2) x

= \frac{d}{d x} (ln (2) x)

Take the constant out:

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

= ln (2) \frac{d x}{d x}

Apply the common derivative:

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

= ln (2) \cdot 1

Simplify

= ln (2)

h \to 0 lim (\frac{( f ( x , h ) ( x + h ) - f ( x , h ) x )}{h})

e^{x}

x^{2}

sin (2 x)

tan (x)

What is the derivative derivative of ln(2^x) ?
The derivative derivative of ln(2^x) is ln(2)
What is the first derivative derivative of ln(2^x) ?
The first derivative derivative of ln(2^x) is ln(2)