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Math · Calculus
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EXERCISE 5.25 Show by means of the definition of derivative of a function that the function f on IR, defined by f(x) = 5x + 71x-21 is differentiable in 2

DEFINITION Let f be a function on an interval I and let cE I f(x) (c) We call the function J disferentiable in c if lim the limit is called the derivative of f in c and is written as f(c) exists. In that case the value of ー - x→с 2°-c 1(2)-(c) f(c)=lim+0 or The function f is called differentiable if f is differentiable in every point of I. In that case we call the function on I which adds to every point E I the derivative of f in the derivative function of f, and we write it as f.

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