But to see where you are going wrong or getting stuck we need to see at least one of them.samuelfarley said:many attemps made
Derivatives are mathematical tools used to measure the rate of change of a function. They can be used to determine the increase or decrease of a function by finding the slope of the tangent line at a specific point on the function's graph.
Derivatives allow us to analyze the behavior of a function at a specific point, such as whether it is increasing or decreasing, and the steepness of the curve at that point. This information can help us understand the overall behavior of the function.
A positive derivative indicates that the function is increasing at a given point, while a negative derivative indicates that the function is decreasing. This information can help us determine the direction of the function's graph at that point.
The maximum and minimum points of a function occur where the derivative is equal to 0. This is because the derivative measures the slope of the tangent line, and at these points, the tangent line is horizontal (has a slope of 0). By finding the points where the derivative is 0, we can determine the maximum and minimum values of the function.
Derivatives are used in various fields such as physics, economics, and engineering to analyze and predict the behavior of systems and processes. For example, in economics, derivatives can be used to determine the marginal cost and revenue of a business, while in physics, they can be used to analyze the velocity and acceleration of an object.