WebApr 3, 2024 · Activity 5.1. 1: Suppose that the function y = f ( x) is given by the graph shown in Figure 5.2, and that the pieces of f are either portions of lines or portions of … WebAug 9, 2024 · The derivative and integral are almost inverse functions, so in turn, you are almost correct. For simple polynomials, one multiplies by the power and then removes 1 from the power, and the other adds 1 to the power and divide by the new power. For more complex functions, you can consider it visually, or even compare it to physics.

Finding the original function when given the …

WebThis is the graph of the function y = x.Remember, this graph represents the derivative of a function. Our task is to find a possible graph of the function. First, notice that the … Web2.Below is a graph of a derivative g0(x). Assume this is the entire graph of g0(x). Use the graph to answer the following questions about the original function g(x). g0(x) (a)On which interval or intervals is the original function g(x) increasing? (b)On which interval or intervals is the original function g(x) decreasing? (c)Now suppose g(0) = 0. porter\u0027s five forces boeing

Connecting f, f

WebAug 2, 2024 · The differences between the graphs come from whether the derivative is increasing or decreasing. The derivative of a function \(f\) is a function that gives … WebApr 2, 2015 · $\begingroup$ This interpretation works if y'=0 -- the (corrected) formula for the derivative of curvature in that case reduces to just y''', i.e., the jerk IS the derivative of curvature. But if y' is nonzero, then the connection between curvature and the second derivative becomes problematic. For instance, with y=e^x, the second derivative is … Webthe function has the blue graph. the first derivative is zero when the function reaches an extremum, its graph is the red one. the second derivative gives information on … porter\u0027s five forces and the auto industry