August 2009
Beginner
256 pages
6h 29m
English
Content preview from The Manga Guide to Calculus
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The Sum Rule of Dierentiation 51
That means that to
dierentiate is to find
the spd when f(x) is a
function expreing the
distance!
That’s right. So, if
h(x) = f(x) + g(x) , then
h ′(x) = f ′(x) + g ′(x)
means the
foowing.
This time, let him
walk on a moving
walkway, like you
might s at an
airport.
The moving walkway moves
f(x) meters in x minutes.
When measured on the
walkway, Futoshi travels
g(x) meters in x minutes.
So the total
distance Futoshi
travels in
x
minutes becomes
h(x) = f(x) + g(x) .
Travels g(x) meters
in x minutes
Moves
f(x) meters
in x minutes
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