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When finding the derivative of a point on a piecewise function does every function in the piecewise function need to be continuous and approach the same limit?
Ryaanmichael
All differentiable functions need be continuous at least.
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∙ 11y ago
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Can you please show that first derivation is piecewise continuous?
Assuming you mean "derivative", I believe it really depends on the function. In the general case, there is no guarantee that the first derivative is piecewise continuous, or that it is even defined.
What is piecewise smooth function?
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
Describe the defining characteristics of piecewise functions?
A piecewise defined function is a function which is defined symbolically using two or more formulas
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
Can you please show that first derivation is piecewise continuous?
Assuming you mean "derivative", I believe it really depends on the function. In the general case, there is no guarantee that the first derivative is piecewise continuous, or that it is even defined.
What is piecewise smooth function?
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
The greatest integer function and absolute value function are both examples of functions that can be defined?
piecewise
Is a piecewise function one to one?
It can be.
Describe the defining characteristics of piecewise functions?
A piecewise defined function is a function which is defined symbolically using two or more formulas
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
Do you connect points for a piecewise function?
yes :D
What is X2-4 divided by x2 plus 3x plus 2 continuous or discontinuous?
The numerator function x2 - 4 and the denominator function x2 + 3x + 2 are both continuous functions of x for the entire x-axis. However, the quotient of these two functions is not continuous when the denominator function has the value of 0, because division by zero is not defined. The denominator function is 0 when x = -1 or -2. Therefore, the quotient function is not fully continuous over any intervals that include -1 or -2, but it is "piecewise continuous" over other intervals of the x-axis.
Which function is used to model overtime pay?
Piecewise <3
What is a piece-wise function?
for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
