derivative of 100
Understand the Problem
The question is asking for the derivative of a constant value, specifically 100. The derivative of any constant is always 0, as constants do not change with respect to their variable.
Answer
The derivative of 100 is $0$.
Answer for screen readers
The derivative of the constant 100 is $0$.
Steps to Solve
- Identify the function to differentiate
The function we need to differentiate is a constant value: $$ f(x) = 100 $$
- Apply the derivative rule for constants
The derivative of a constant function is 0. The derivative can be expressed mathematically as: $$ f'(x) = 0 $$
- Conclusion of the differentiation
Since the function represents a constant (100), regardless of the variable $x$, the derivative remains 0.
The derivative of the constant 100 is $0$.
More Information
In calculus, the concept that the derivative of a constant is zero is fundamental. It signifies that a constant function does not change, hence its rate of change is zero.
Tips
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