Find the equation of the line tangent to the graph of
at
We can use
[link] , but as we have seen, the results are the same if we use
[link] .
We now know that the slope of the tangent line is
To find the equation of the tangent line, we also need a point on the line. We know that
Since the tangent line passes through the point
we can use the point-slope equation of a line to find the equation of the tangent line. Thus the tangent line has the equation
The graphs of
and
are shown in
[link] .
The type of limit we compute in order to find the slope of the line tangent to a function at a point occurs in many applications across many disciplines. These applications include velocity and acceleration in physics, marginal profit functions in business, and growth rates in biology. This limit occurs so frequently that we give this value a special name: the
derivative . The process of finding a derivative is called
differentiation .
Definition
Let
be a function defined in an open interval containing
The derivative of the function
at
denoted by
is defined by
provided this limit exists.
Alternatively, we may also define the derivative of
at
as
Now that we can evaluate a derivative, we can use it in velocity applications. Recall that if
is the position of an object moving along a coordinate axis, the
average velocity of the object over a time interval
if
or
if
is given by the difference quotient
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
