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what is the significance of
partial derivatives.
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Answer Posted / kanhaikumar
A partial derivative
basically tells you how a
function changes if I
change just one of many
variables it may depend on,
while keeping all other
variables constant.
On the other hand, a total
derivative tells you the
"TOTAL" information about
the function. It describes
how a function changes if
all (or some) variables are
changed together.
When a function depends
only on one variable then
ALL = one variable. In this
case, a partial derivative
is the same as the total
derivative
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