Taking a derivative using leibniz’s notation, example 1
Find the derivative of
First, let
Thus,
Next, find
and
Using the quotient rule,
and
Finally, we put it all together.
It is important to remember that, when using the Leibniz form of the chain rule, the final answer must be expressed entirely in terms of the original variable given in the problem.
[T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where
is measured in seconds and
is in inches:
[T] The formula for the area of a circle is
where
is the radius of the circle. Suppose a circle is expanding, meaning that both the area
and the radius
(in inches) are expanding.
Suppose
where
is time in seconds. Use the chain rule
to find the rate at which the area is expanding.
Use a. to find the rate at which the area is expanding at
s.
[T] The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function
where
is hours after midnight. Find the rate at which the temperature is changing at 4 p.m.
[T] The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function
where
is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m.
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