Thursday

April 17, 2014

April 17, 2014

Posted by **Anonymous** on Tuesday, July 21, 2009 at 8:41am.

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 -
**MathMate**, Tuesday, July 21, 2009 at 9:03amYou 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 -
**MathMate**, Tuesday, July 21, 2009 at 9:04amAddendum:

"You could construct the tangent at different points..."

should read:

"You could construct and plot the magnitude of the tangents at different points..."

**Related Questions**

Calculus (Continuity and Differentiability) - Okay. So I am given a graph of a ...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

Calculus - Use a symbolic differentiation utility to find the derivative of the ...

trig/precalc - a car's flywheel has a timing mark on it's outer edge. the height...

Gr.11 - Rational functions graphing. - 1. Identify a rational function whose ...

calculus - The function f is defined by f(x) = x^3 - x^2 - 4x + 4 The point (a,b...

Calculus - Let f be a twice-differentiable function defined on the interval -1.2...

Math - What are the similarities and differences between functions and linear ...

Math - What are the similarities and differences between functions and linear ...

pre-cal: graphs of functions- fill in the blank - To find the domain of a ...