O'Reilly logo

FUNDAMENTALS OF MATHEMATICS DIFFERENTIAL CALCULUS by Sanjay Mishra

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

EXTREMA OF PARAMETRIC FUNCTION

Consider a function defined parametrically: x = x(t), y = y(t). Suppose that we are interested in finding the points of extrema of this function. We can eliminate the parameter 't' to get y as a function of x. For example, consider

images

On elimination of f, we get y = images

If we draw the graph of y = f(x) we can apply the basic definition of local maximum to claim that the function has a local maximum at x = 1.

images

FIGURE 5.233 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required