- #1
transgalactic
- 1,395
- 0
i am given two differentiable function f and g .
prove that for u(x)=max(f(x),g(x))
and v(x)=min(f(x),g(x))
there is one sided derivatives
??how to put mim ,max functions into the formula of derivative formula??
[itex]f'(x)_+ = \lim_{h \to 0^+} \frac {f(x + h) - f(x)}h[/itex] (one-sided derivative...from the right)
[itex]
f'(x)_- = \lim_{h \to 0^-} \frac {f(x + h) - f(x)}h
[/itex]
(one-sided derivative... from the left)
prove that for u(x)=max(f(x),g(x))
and v(x)=min(f(x),g(x))
there is one sided derivatives
??how to put mim ,max functions into the formula of derivative formula??
[itex]f'(x)_+ = \lim_{h \to 0^+} \frac {f(x + h) - f(x)}h[/itex] (one-sided derivative...from the right)
[itex]
f'(x)_- = \lim_{h \to 0^-} \frac {f(x + h) - f(x)}h
[/itex]
(one-sided derivative... from the left)