c3atmicn6aomington c3atmicn6aomington
  • 24-04-2017
  • Mathematics
contestada

How to find slope of parabola at a point?

Respuesta :

Edufirst
Edufirst Edufirst
  • 02-05-2017
To find the slope of a parabola at a point you have to find is the first derivative of the function. This first derivative is the slope of the tangent of the parabola at the given point and it is the same slope of the parabola.

If you have the parabola with the general form y = Ax^2 + Bx + C

The slope at point (m,n) is:

y' = 2Ax + B

x = n

=> y ' = 2A(n) + B.

For example, find the slope of the parabole y = 3x^2 + 2x + 1, at x = 1


y' = 6x + 2

x = 1 => y' = 6(1) + 2 = 8.

So the slope at x = 1 is 8.
Answer Link

Otras preguntas

How can you use 4s fact to find 7x8? Give the product in your explanation..
Jackie cut a 2 yard spool into 5 equal lengths of ribbon?
explain why x+8=12 and 12-x=8 have the same solution ?
Why is the high-pitched whistle better for the audience?
How do unbalanced forces affect its motion when the object is at rest?
What is the solution to the equation 8 - 2b = -2 ___ * (12b + 6) ? 3 b =
In what order did the following empires dominate Mesopotamia? A. Greek; Assyrian; Roman B. Persian; Roman; Babylonian C. Babylonian; Assyrian; Persian D. Persia
evaluate the effects of the teapot dome scandal on citizens’ views of the federal government
The table shows the amount of money a plumber charges for different numbers of hours that he works. The plumber graphed this information. What is the slope of
Why isn't hydrogen considered an alkali metal ?