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manish15689
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How to prove that
y''=d2y/dx2
if y=f(x)
y''=d2y/dx2
if y=f(x)
manish15689 said:i want to know how does the notation d2y/dx2 come into existence...
A second order derivative is a type of mathematical function that represents the rate of change of a derivative. It is the rate of change of the rate of change of a given function.
A second order derivative can be calculated by taking the derivative of the first derivative of a function. This is also known as taking the derivative of a derivative or finding the derivative of the derivative.
A second order derivative is important in analyzing functions and understanding the behavior of graphs. It can provide information about the concavity and inflection points of a function.
A first order derivative represents the instantaneous rate of change of a function, while a second order derivative represents the rate of change of the first derivative. In other words, a second order derivative shows how the rate of change is changing.
A second order derivative has various applications in fields such as physics, engineering, and economics. It can be used to analyze the motion of objects, determine optimal solutions in optimization problems, and understand the behavior of markets and economies.