Since the remaining four trigonometric functions may be expressed as quotients involving sine, cosine, or both, we can use the quotient rule to find formulas for their derivatives.
The derivative of the tangent function
Find the derivative of
Start by expressing
as the quotient of
and
Now apply the quotient rule to obtain
Simplifying, we obtain
Recognizing that
by the Pythagorean theorem, we now have
The derivatives of the remaining trigonometric functions may be obtained by using similar techniques. We provide these formulas in the following theorem.
Derivatives of
And
The derivatives of the remaining trigonometric functions are as follows:
Finding the equation of a tangent line
Find the equation of a line tangent to the graph of
at
To find the equation of the tangent line, we need a point and a slope at that point. To find the point, compute
Thus the tangent line passes through the point
Next, find the slope by finding the derivative of
and evaluating it at
Using the point-slope equation of the line, we obtain
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