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Differentiation Rules
The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued 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
| Product Rule |
| If f (x) and g (x) are differentiable, then
[ f (x) g (x) ] ' = f (x) g ' (x) + g (x) f ' (x)
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| Quotient Rule |
If f (x) and g (x) are differentiable and g (x) ¹ 0, then
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| Power Rule |
If f (x) = xn, where n is a positive integer, then f ' (x) = n xn-1
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| Chain Rule |
If y = f (u) and u = g (x) and both are differentiable, then |
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About RF Cafe 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. Dial-up modems blazed along at 14.4 kbps while tying up your telephone line, and a lady's voice announced "You've Got Mail" when a new message arrived... |
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