what is the derivative of a constant, c?
what is the derivative of a constant, c?
Answer
Explanation:
Step1: Use the derivative formula
The derivative formula for a function (y = f(x)) is (y^\prime=\lim\limits_{\Delta x\rightarrow0}\frac{f(x + \Delta x)-f(x)}{\Delta x}). For (y = c) (where (c) is a constant), (f(x)=c) and (f(x+\Delta x)=c).
Step2: Calculate the derivative
Substitute into the formula: (\frac{c - c}{\Delta x}=0) as (\Delta x\rightarrow0).
Answer:
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