**A derivative is simply a measure of the rate of change**. It can be the rate of change of distance with respect to time or the temperature with respect to distance. We want to measure the rate of change of a function y = f ( x ) y = f(x) y=f(x) with respect to its variable x x x.

In the 12th century, the Persian mathematician **Sharaf al-Dīn al-Tūsī** discovered the derivative of cubic polynomials.

What is an NFT Derrivative? A derivative is **a copy of an existing collection**. They may look very similar or have small identical changes but in all they are the same. To the public they may look the same, these projects often look like the original and function similarly in terms of utility.

Derivatives are **any financial instruments that get or derive their value from another financial security**, which is called an underlier. This underlier is usually stocks, bonds, foreign currency, or commodities. The derivative buyer or seller doesn't have to own the underlying security to trade these instruments.

Derivatives can be used **to estimate functions, to create infinite series**. They can be used to describe how much a function is changing - if a function is increasing or decreasing, and by how much. They also have loads of uses in physics. Derivatives are used in L'Hôpital's rule to evaluate limits.

derivative of ln(3x)

x ^{2} | x ^{□} | · |
---|---|---|

(☐) ^{′} | d dx | θ |

If at x = a, f(x) takes indeterminate form, then we consider the values of the function which is very near to a. If these value tend to a definite unique number as x tends to a, then the unique number so obtained is called the limit of f(x) at x = a and we write it as **\lim _{ x\rightarrow a }{ f(x) }**.

2 cos 2x

**A derivative is simply a measure of the rate of change**. It can be the rate of change of distance with respect to time or the temperature with respect to distance. We want to measure the rate of change of a function y = f ( x ) y = f(x) y=f(x) with respect to its variable x x x.

**The derivative of a function gives us the slope of the line tangent to the function at any point on the graph**. This can be used to find the equation of that tangent line.

For example, each human body hosts 10 microorganisms for every human cell, and these microbes **contribute to digestion, produce vitamin K, promote development of the immune system, and detoxify harmful chemicals**. And, of course, microbes are essential to making many foods we enjoy, such as bread, cheese, and wine.

Due to their diverse metabolic potentials and established manipulation techniques, microbes are considered to be excellent materials for biotechnology. **Pure cultures of microbes are exploited in industrial processes to produce alcohols, organic acids, and polymeric materials** (2).

They are divided into two main groups based on their cell structure: **Prokaryotes and Eukaryotes**.

Bacteria are **microbes with a cell structure simpler than that of many other organisms**. Their control centre, containing the genetic information, is contained in a single loop of DNA. Some bacteria have an extra circle of genetic material called a plasmid rather than a nucleus.

The major groups of microorganisms—namely **bacteria, archaea, fungi (yeasts and molds), algae, protozoa, and viruses**—are summarized below.

Microbes are **almost everywhere, below our feet, above our heads and in our bodies**. Some are dangerous to us, but most are beneficial. More than 99% of bacteria are unculturable so we cannot grow them in a lab to study them. This means there are many more incredible species to discover, and useful research still to do.”

**There are three basic shapes.**

- Spherical: Bacteria shaped like a ball are called cocci, and a single bacterium is a coccus. Examples include the streptococcus group, responsible for “strep throat.”
- Rod-shaped: These are known as bacilli (singular bacillus).
- Spiral: These are known as spirilla (singular spirillus).

A bacterium Lactobacillus promotes the formation of curd. Microbes are used to reduce pollution. They are used to increase soil fertility by fixing atmospheric nitrogen. Microbes are also useful in preparing many medicines and antibiotics.

The most common types are **bacteria, viruses and fungi**. There are also microbes called protozoa.

Microorganisms or microbes are microscopic organisms that exist as unicellular, multicellular, or cell clusters. Microorganims are widespread in nature and are beneficial to life, but some can cause serious harm. They can be divided into six major types: **bacteria, archaea, fungi, protozoa, algae, and viruses**.

Microbial biotechnology or industrial microbiology is **the use of microorganisms to obtain an economically valuable product or activity at a commercial or large scale**. The microorganisms used in industrial processes are natural, laboratory-selected mutant or genetically engineered strains.

Dated : 02-Jul-2022

Category : Education