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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]


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?

A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.


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


Which function is used to model overtime pay?

Piecewise <3


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.


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 can I use the scipy differentiation function to calculate the derivative of a mathematical function?

To calculate the derivative of a mathematical function using the scipy differentiation function, you can use the scipy.misc.derivative function. This function takes the mathematical function, the point at which you want to calculate the derivative, and the order of the derivative as input parameters. It then returns the numerical value of the derivative at that point.