What is the derivative of ln(10^x) ?

The derivative of ln(10^x) is ln(10)

What is the first derivative of ln(10^x) ?

The first derivative of ln(10^x) is ln(10)

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\frac{d}{d x} (ln (1 0^{x}))

ln (10)

Solution steps

\frac{d}{d x} (ln (1 0^{x}))

Simplify

ln (1 0^{x}) : ln (10) x

= \frac{d}{d x} (ln (10) x)

Take the constant out:

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

= ln (10) \frac{d x}{d x}

Apply the common derivative:

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

= ln (10) \cdot 1

Simplify

= ln (10)

y = - x^{2} + 8 x, y = x^{2} - 4 x

8 sin^{3} (t)

\int \frac{sec ( u )}{tan ( u )} d u

y = x^{3} - 3 x

\frac{d}{d x} (\frac{1 + sin ( x )}{1 + cos ( x )})

What is the derivative of ln(10^x) ?
The derivative of ln(10^x) is ln(10)
What is the first derivative of ln(10^x) ?
The first derivative of ln(10^x) is ln(10)