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Its derivative is (1/3)x- (2/3) (by the Power Rule) At x=0 the derivative is undefined, so x (1/3) is not differentiable, unless we exclude x=0. At x=0 the function is not defined so it makes no sense to ask if they are differentiable there. To be
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A function is said to be differentiable if the derivative of the function exists at all points in its domain. Particularly, if a function f (x) is differentiable at x = a, then f′ (a) exists in the domain. Let us look at some examples of polynomial and
Completing a task step-by-step can help ensure that it is done correctly and efficiently.
Mathematics is the study of numbers, shapes, and patterns. It is used to solve problems in a variety of fields, including science, engineering, and finance.
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Check if Differentiable Over an Interval f (x) = 4x − 2 f ( x) = 4 x - 2 , (1,3) ( 1, 3) Find the derivative. Tap for more steps 4 4 Find if the derivative is continuous on (1,3) ( 1, 3). Tap for more
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