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# What is a derived quantity?

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### Quick Answer

**A derived quantity is a quantity that is based on the result of a systematic equation that includes any of the seven basic quantities, which are the kilogram, meter, second, ampere, kelvin, mole and candela.** Examples of derived quantities include area (square meters), speed (meters per second) and frequency (hertz).

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Most derived quantities have been assigned special names and symbols because of their complexity of presenting them using base units. An example of this is the newton, which is a unit of force that equates to the amount of force needed to accelerate 1 kilogram by 1 meter per second per second. Two of the derived quantities, the radian and steradian, are dimensionless.

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Q:
## What is the antiderivative of sec(x)?

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Full Answer >**The antiderivative of sec(x) is equal to ln |sec(x) + tan(x)| + C, where C represents a constant.**This antiderivative, also known as an integral, can be solved by using the integration technique known as substitution.Filed Under: -
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## What is the antiderivative of 2x?

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Full Answer >**The antiderivative of 2x is x^2 + C, where C is a real number of some type.**There is an operation used for polynomial functions, even if for only one term, that makes the calculation simpler.Filed Under: -
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## How did Leonard Euler contribute to mathematics?

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Full Answer >**Leonard Euler largerly contributed to the field of mathematics by proving existing theorems, finding the solutions to complex problems, introducing mathematical symbols and formulating theorems and equations that bear his name.**Euler is considered to be the most prolific and one of the most influential scientists, with some claiming that he was the greatest mathematician during the 1700s.Filed Under: -
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## What formula do you use for the integral of inverse tangent?

A:The formula for the integral of inverse tangent is the integral of arctan(x) dx = x * arctan(x) - (1/2) * ln |x2+1|+ C. The integral is solved using integration by parts, which notes that the integral of u dv is equal to u times v minus the integral of v du. The term arctan represents the inverse function in mathematical formulas.

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