
In order to be differentiable everywhere,
must first be continuous everywhere, which means the limits from either side as
must be the same and equal to
. By definition,
, and


so we need to have
.
For
to be differentiable at
, the derivative needs to be continuous at
, i.e.

We then need to have

Then

Answer:
∠ A ≈ 44.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos A =
=
=
, then
∠ A =
(
) ≈ 44.42° ( to the nearest hundredth )
Step-by-step explanation:
Let the number be x, then

Answer:
50-45+87-25=67
Step-by-step explanation:
earning is + so +50
losing is - so -45
+87
-25
Since he sold it for $75 more,
% Mark Up = Mark Up/ Cost Price * 100%
% Mark Up = 75 / 125 * 100%
= 0.6 * 100% = 60%
Percent Mark Up = 60%.
Hope this explains it.