Tutorials

These tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the help you need, whether through these tutorials or through private tutoring lessons.

exponential function

applying both the product rule and chain rule.

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…

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