What is the derivative of ln(7)?
Understand the Problem
The question is asking for the derivative of the natural logarithm of the constant 7. Since 7 is a constant, the derivative will be 0, as the derivative of any constant is 0.
Answer
$0$
Answer for screen readers
The derivative of $\ln(7)$ is $0$.
Steps to Solve
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Identify the function We are dealing with the function $y = \ln(7)$. This is the natural logarithm of the constant 7.
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Understand the properties of constants Since 7 is a constant, the value of $\ln(7)$ is also a constant.
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Differentiate the function The derivative of any constant $c$ is 0. Therefore, we find:
$$ \frac{dy}{dx} = 0 $$
This means that the derivative of $y = \ln(7)$ is equal to 0.
The derivative of $\ln(7)$ is $0$.
More Information
The derivative being zero indicates that the function $y = \ln(7)$ does not change with respect to $x$, which is consistent with the properties of constants in calculus.
Tips
- Assuming that the derivative of the natural logarithm function always gives a non-zero result. Remember that the derivative of any constant is always 0.
