A vector function is a mathematical function that takes in one or more variables and outputs a vector as its result. It is commonly used in physics and engineering to describe the movement and changes of objects in space or time.
To find the slope of a tangent for a vector function, you first need to differentiate the function with respect to the variable in question. Then, plug in the value of the variable at the point where you want to find the slope. The resulting value is the slope of the tangent at that point.
The slope of a tangent for a vector function represents the rate of change of the function at a specific point. This can be useful in understanding the behavior of the function and making predictions about its future values.
Yes, the slope of a tangent can be negative. This indicates that the function is decreasing at that point, and the tangent line is sloping downwards.
The slope of a tangent is equal to the value of the derivative at that point. This means that the derivative of a vector function tells us the slope of the tangent at any given point along the function.