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Encyclopedia > Derivation

There are several meanings of derivation:

This is a disambiguation page — a navigational aid which lists pages that might otherwise share the same title. If an article link referred you here, you might want to go back and fix it to point directly to the intended page.

  Results from FactBites:
 
Derivative - Wikipedia, the free encyclopedia (2343 words)
If the second derivative is positive at a critical point, that point is a local minimum; if negative, it is a local maximum; if zero, it may or may not be a local minimum or local maximum.
The derivatives of sin(x), ln(x) and exp(x) can be found in table of derivatives, but the vast majority of mathematicians and maths students learn the derivatives of such common functions off by heart.
The common thread is that the derivative at a point serves as a linear approximation of the function at that point.
Derivative - definition of Derivative in Encyclopedia (2042 words)
The derivative of a function at a certain point is a measure of the rate at which that function is changing as an argument undergoes change.
The derivative of f(x) is written in several possible ways: f ′(x) (pronounced f prime of x), d/dx[f(x)] (pronounced d by d x of f of x or d d x of f of x), df/dx (pronounced d f by d x or d f d x), or D
Derivatives are defined by taking the limit of the slope of secant lines as they approach a tangent line.
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