ibysaiyan said:dy/dx =>2e^2x=2x-1
=>e^2x = 2x/2 -1/2
e2x= x-1/2 (1)
nesteel said::[ sorry sorry, i won't do it again
...is it better now ? :D
The second derivative is a mathematical concept that involves taking the derivative of a function twice. It represents the rate of change of the rate of change of the original function.
Finding the second derivative is important because it allows us to analyze the curvature of a function. By examining the concavity and inflection points of a function, we can gain a better understanding of its behavior and make predictions about its future behavior.
To find the second derivative of a function, you first take the derivative of the function using the appropriate differentiation rules. Then, you take the derivative of the resulting function again. This will give you the second derivative of the original function.
Finding the second derivative has many real-world applications, such as in physics, engineering, and economics. It can be used to analyze the acceleration and curvature of objects, the rate of change of physical systems, and the concavity of economic models.
The first derivative represents the slope of a function at a given point, while the second derivative represents the rate of change of the slope. In other words, the second derivative tells us how the slope is changing at a specific point on the function.