What is the derivative of ln(5^x) ?

The derivative of ln(5^x) is ln(5)

What is the first derivative of ln(5^x) ?

The first derivative of ln(5^x) is ln(5)

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\frac{d}{d x} (ln (5^{x}))

ln (5)

Decimal

1.60943 \dots

Solution steps

\frac{d}{d x} (ln (5^{x}))

Simplify

ln (5^{x}) : ln (5) x

= \frac{d}{d x} (ln (5) x)

Take the constant out:

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

= ln (5) \frac{d x}{d x}

Apply the common derivative:

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

= ln (5) \cdot 1

Simplify

= ln (5)

\frac{\partial}{\partial x} (\frac{- 4}{x + y})

d er i v a t i v e y = \frac{1}{7 x ^{\frac{6}{7}}}

t an g e n t f (x) = x^{2} - 7, (4, 9)

in v erse l a pl a ce \frac{( s + 1 )}{( s ^{2} + 4 s + 20 )}

\int - 2 x 1 - x^{2} d x

What is the derivative of ln(5^x) ?
The derivative of ln(5^x) is ln(5)
What is the first derivative of ln(5^x) ?
The first derivative of ln(5^x) is ln(5)