calculus

posted by .

help needed!!!
how would you go about drawing the graph of a functions derivative, if the original function is unknown. IE only the graph if F(x) is given but not the equation.

thanks

  • calculus -

    You could construct the tangent at different points, and if the graph is free of kinks and vertical asymptotes, you can join the different points to get a graph of the derivative.
    A kink will imply a discontinuity in the derivative, and a vertical asymptote will mean the same thing in the derivative.
    I hope this just about covers most situations.

  • calculus -

    Addendum:
    "You could construct the tangent at different points..."
    should read:
    "You could construct and plot the magnitude of the tangents at different points..."

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus/graphing calculator help

    We were given a worksheet on modifying functions with the equation y=Af(Bx+C)+D. The first function we're given is y1=f(x)= x + x^2 and we're supposed to graph it. Then we're told to graph y2=2f(x), and we're given instructions on …
  2. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that …
  3. Math

    What are the similarities and differences between functions and linear equations?
  4. Math

    What are the similarities and differences between functions and linear equations?
  5. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of a …
  6. Calculus (Continuity and Differentiability)

    Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, …
  7. Calculus

    Let f be a twice-differentiable function defined on the interval -1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the x-axis at …
  8. Calculus derivative

    find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope?
  9. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable …
  10. Calculus

    I'm supposed to sketch a graph of two functions that have the same derivative of a graph. The graph having a horizontal line on (0,4)

More Similar Questions