Left Border Content  RF Cafe




Copyright: 1996  2024 Webmaster:
Kirt Blattenberger,
BSEE  KB3UON
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling
2 MB. Its primary purpose was to provide me with ready access to commonly needed
formulas and reference material while performing my work as an RF system and circuit
design engineer. The World Wide Web (Internet) was largely an unknown entity at
the time and bandwidth was a scarce commodity. Dialup modems blazed along at 14.4 kbps
while typing up your telephone line, and a nice lady's voice announced "You've Got
Mail" when a new message arrived...
All trademarks, copyrights, patents, and other rights of ownership to images
and text used on the RF Cafe website are hereby acknowledged.
My Hobby Website:
AirplanesAndRockets.com


SubHeader  RF Cafe

Differentiation Rules 
In calculus, a branch of
mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a
derivative can be thought of as how much a quantity is changing at a given point. For example, the derivative of
the position (or distance) of a vehicle with respect to time is the instantaneous velocity (respectively,
instantaneous speed) at which the vehicle is travelling. Conversely, the integral of the velocity over time is the
vehicle's position.
The derivative of a function at a chosen input value describes the best linear
approximation of the function near that input value. For a realvalued function of a single real variable, the
derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher
dimensions, the derivative of a function at a point is a linear transformation called the linearization. A closely
related notion is the differential of a function.
The process of finding a derivative is called
differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to
integration.
 Wikipedia
If f (x) and g (x) are differentiable, then
[ f (x) g (x) ] ' = f (x) g ' (x) + g (x) f ' (x)

If f (x) and g (x) are differentiable and g (x) ¹ 0, then

If f (x) = x^{n}, where n is a positive integer, then f ' (x) = n x^{n1
} 
If y = f (u) and u = g (x) and both are differentiable, then


Footer  RF Cafe


Right Border Content  RF Cafe
