Lecture
Let function defined on interval .
Let the number . Give x increment Δx so that . Incrementing the argument Δx will cause the function to increment . The limit (if it exists) of the ratio of the increment of the function Δy to the increment of the argument Δx as Δx → 0 is called the derivative of the function and is denoted by i.e.
At the same time, the function itself called differentiable .
The following symbols are also used to denote a derivative: .
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Mathematical analysis. Differential calculus
Terms: Mathematical analysis. Differential calculus