Question

plz help find the derivative of the fuction using thedefination of derivative state the domain of the function and the domain of its derivative f(x)=37 plz show me steps..

Answer 1

f(x)=37?

It's a constant..

Answer 2

\[
f'(x)=\lim_{\Delta x\to0}\frac{f(x+\Delta x)-f(x)}{\Delta x}.
\]If \(f(x)=37\), then\[
f'(x)=\lim_{\Delta x\to0}\frac{37-37}{\Delta x}=0.
\]The domain of both functions is \(\mathbb{R}\).