## How to Find Prime Numbers?

Prime numbers are numbers that can be divided by 1 and itself. 1 is not a prime number since it is only divided by 1. It has to have only two factors. For example, 8 is not a prime number because it has more than two factors. We call this a composite number, which has…

## Differentiating trigonometric function

(1) d/dx(sinx)= cosx (2) d/dx(cosx)= -sinx (3) d/dx(tanx)= -( secx)2 (4) d/dx(cotx)= -(cosecx)2 (5) d/dx(secx)= secx.tanx (6) d/dx(cosecx)= -cosecx.cotx

## Differentiating trigonometric function

d/dx(sinx)=cosx d/dx(cosx)=-sinx d/dx(tanx)=(secx)2

## Composite exponential function differentiation

When we differentiate the composite exponential function, we want to use the product rule and the chain rule.

## Second Derivative

NOTATION FOR SECOND DERIVATIVE Leibniz’s notation is d2y/dx2 Lagrange’s notation is f”

## Roman Republic

By around 494 BCE, the plebians revolted and set their base camp outside of the city Rome’s walls. The patricians or the aristocrats helped end the revolt and made a way for plebians and other citizens of Rome to understand the rules. They posted it in the Forum, which was like a metropolitan area.

## chain rule twice

The chain rule tells us how to take the derivative of their composition. d/dx(f(g(x)))=f'(g(x)).g'(x)

## chain rule

The chain rule tells us how to take the derivative of their composition d/dx(f(g(x)))=f'(g(x)).g'(x)

## German Unification under Otto von Bismarck

During the 1860s, King Wilhelm I led Prussia, and he appointed Otto von Bismarck as the Foreign Minister of Prussia. Bismarck was a shrewd diplomat, and he used force and conquest to get the lands that Prussia needed to become the German Empire. He gave a speech regarding about the German Unification.

## Quotient rule

The quotient tells us how to find derivative of the quotient of two functions. d/dx(f(x)/g(x))=d/dx(f(x)).g(x)-f(x).d/dx(g(x))/(g(x))2

## Homestead Act of 1862

The Great Plains had vast potential to do farming and to bring development for settlers to take the land for themselves to essentially take away the land from the Native Americans.

## product rule

product rule :(f(x)g(x))’=f(x)g'(x)+g(x)f'(x) differentiating trigonometric functions: d/dx(sin(x))=cos(x), d/dx(cos(x)=-sin(x) differentiating logarithmic function: d/dx(ln(x))=1/x

## product rule

Product rule (f(x)g(x))’=f(x)g'(x)+g(x)f'(x) Differentiating Exponential function d/dx(ex)=ex

## Nicholas Copernicus

During the time of the Renaissance in Europe, the Catholic Church was weakening due to its problems and disagreements. Also, some people had begun to question the Catholic Church’s teachings, which was also the wisdom from the Greco-Roman times. This was a revolution of scientific ideas, which was the Scientific Revolution. The wisdom of the…

## product rule

The product rule tells us how to find the derivative of the product of two functions. d/dx(f(x)g(x))=f(x)d/dx(g(x))+g(x)d/dx(f(x))

## Converting(Changing) Fractions To Decimals

Converting fractions to decimals can be a little hard. However, there are ways to do so. You can use division because of the numerator(top part)/denominator(bottom part), like for example, 4/5. When you divide the fraction the numerator is in the inside, and the denominator is on the outside. Add two zeros and move the decimal…

## Long Division

There are two ways to do division with polynomials, which are long(polynomial) division and synthetic division. In these two sample problems, this would only be done through long division. Synthetic division is the shortcut, but it only works with linear factors. You have to find the solution for x, so it can be used in…

## Mitosis

Mitosis is the cell division that creates two identical daughter cells to the parent(clones).

## Causes of World War 1

Before World War 1, and after the 40-year peace in the aftermath of the Napoleonic Wars, there were a lot of tensions brewing in Europe. The great powers had competed to be the most superior and the most powerful nation in the world. In the area called the Balkans, which were in the southeastern part…

## FDR’s Court-Packing Plan

During FDR’s first term, the Supreme Court had ruled certain aspects of the New Deal to be unconstitutional like the Agricultural Adjustment Act of 1933 as well as 1935 and the National Industrial Recovery Act. After FDR’s landslide victory in the 1936 election, he proposed legislation to address the Supreme Court’s decision on the New…

## power rule

Differentiating negative power the power rule also allows us to differentiate expressions like 1/x2

## Trig Ratios

In trigonometry, it is important to know the trig ratios to help solve certain problems dealing with the matters of angles, equations, degrees, unit circle, etc. There are six trig ratios. Co-functions: sin=opp/hyp csc=1/(opp/hyp)=hyp/opp cos=adj/hyp sec=1/(adj/hyp)=hyp/adj tan=opp/adj cot=1/(opp/adj)=adj/hyp -Co-functions are trig ratios that are the inverses of SOH CAH TOA. -sin=sine -csc=cosecant -cos=cosine -sec=secant -tan=tangent…

## Imaginary Numbers

An imaginary number is a complex number that can be written as a real number multiplied by i, which is the imaginary unit.

## Progressive Era

Even though Theodore Roosevelt was the “trustbuster”, his two successors, William Howard Taft and Woodrow Wilson had dealt with the same issue of trusts and monopolies.

## Middle Ages-Causes and Effects of the Crusades

There are causes and effects of the events for to have an impact in history whether they are significant or insignificant.