navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Instantaneous Rate of Change: Exploring More Functions with the First and Second Derivatives

This Demonstration shows the instantaneous rate of change for different values for polynomial functions of degree 2, 3, or 4, an exponential function, and a logistic function.
Do some experiments:
Choose the logistic function. Check the first derivative box. Find an approximate value where the increase of is highest.
Choose the exponential function. Check the second derivative box. Find an approximate , the inflection point, where the tangent line switches from above the function to below. Actually, it is the zero of .
Choose the polynomial of degree four. Check both the first derivative and second derivative boxes.
How big is when has its local maximum and local minimum?
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »

©  2008 The Wolfram Demonstrations Project & Contributors    Wolfram Research    Site Index    Terms of Use    Privacy Policy    RSS    Atom