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  2. Derivative Of Logarithmic Functions

Derivative of Logarithmic Functions Calculator

Get detailed solutions to your math problems with our Derivative of Logarithmic Functions step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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Example

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1

Here, we show you a step-by-step solved example of derivative of logarithmic functions. This solution was automatically generated by our smart calculator:

$\frac{d}{dx}5\ln\left(x\right)$
2

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$5\frac{d}{dx}\left(\ln\left(x\right)\right)$
3

The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$

$\frac{5}{x}$

Final answer to the exercise

$\frac{5}{x}$

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