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Derivative of $$$\ln\left(t\right)$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dt} \left(\ln\left(t\right)\right)$$$.
Solution
The derivative of the natural logarithm is $$$\frac{d}{dt} \left(\ln\left(t\right)\right) = \frac{1}{t}$$$:
$${\color{red}\left(\frac{d}{dt} \left(\ln\left(t\right)\right)\right)} = {\color{red}\left(\frac{1}{t}\right)}$$Thus, $$$\frac{d}{dt} \left(\ln\left(t\right)\right) = \frac{1}{t}$$$.
Answer
$$$\frac{d}{dt} \left(\ln\left(t\right)\right) = \frac{1}{t}$$$A
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