blakejohnston said:F(x)=5/(x^2)-9
Find F'(x)&F''(x)
Find the Vertical Asymptote, Horizontal, and Slant
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. In simpler terms, it tells us how much a function is changing at a certain point.
Derivatives are useful in many areas of science and engineering, such as physics, economics, and engineering. They allow us to analyze the behavior of functions and understand how they change over time or in response to different variables.
The most common method for finding a derivative is using the rules of differentiation, such as the power rule, product rule, and chain rule. These rules allow us to find the derivative of a function by manipulating its algebraic form.
Yes, derivatives can be negative. A negative derivative indicates that the function is decreasing at that point, while a positive derivative indicates that the function is increasing.
In most cases, yes, it is possible to find the derivative of a function using the rules of differentiation. However, there are some functions that are not differentiable, such as those with sharp corners or discontinuities. In these cases, the derivative may not exist or may be undefined.