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

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

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

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

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derivative of

\frac{1 0 ^{x}}{ln ( 10 )}

1 0^{x}

Solution steps

\frac{d}{d x} (\frac{1 0 ^{x}}{ln ( 10 )})

Take the constant out:

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

= \frac{1}{ln ( 10 )} \frac{d}{d x} (1 0^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= \frac{1}{ln ( 10 )} \cdot 1 0^{x} ln (10)

Simplify

\frac{1}{ln ( 10 )} \cdot 1 0^{x} ln (10) : 1 0^{x}

= 1 0^{x}

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