What is the derivative of log_{10}(2x) ?

The derivative of log_{10}(2x) is 1/(ln(10)x)

What is the first derivative of log_{10}(2x) ?

The first derivative of log_{10}(2x) is 1/(ln(10)x)

Popular >

\frac{d}{d x} (lo g_{10} (2 x))

\frac{1}{ln ( 10 ) x}

Solution steps

\frac{d}{d x} (lo g_{10} (2 x))

Apply log rule:

lo g_{a} (b) = \frac{ln ( b )}{ln ( a )}

= \frac{d}{d x} (\frac{ln ( 2 x )}{ln ( 10 )})

Take the constant out:

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

= \frac{1}{ln ( 10 )} \frac{d}{d x} (ln (2 x))

Apply the chain rule:

\frac{1}{2 x} \frac{d}{d x} (2 x)

= \frac{1}{2 x} \frac{d}{d x} (2 x)

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

= \frac{1}{ln ( 10 )} \cdot \frac{1}{2 x} \cdot 2

Simplify

\frac{1}{ln ( 10 )} \cdot \frac{1}{2 x} \cdot 2 : \frac{1}{ln ( 10 ) x}

= \frac{1}{ln ( 10 ) x}

x \to 1.75 - lim (arcsin (\frac{x}{1.75}))

\int \frac{1 + e ^{x}}{x + e ^{x}} d x

\frac{\partial}{\partial x} (x^{10} e^{x y})

x \to 2 - lim (\frac{2 x + 8}{x + 2})

\frac{d}{d x} (\frac{π x ^{2}}{4})

What is the derivative of log_{10}(2x) ?
The derivative of log_{10}(2x) is 1/(ln(10)x)
What is the first derivative of log_{10}(2x) ?
The first derivative of log_{10}(2x) is 1/(ln(10)x)