How do you find the coordinates of a curve?

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How do you find the coordinates of a curve?

Find the point(s) where the curve meets the axes Substitute x = 0 in the curve’s equation to find the y coordinate of the point where the curve meets the y axis. Substitute y = 0 in the curve’s equation. If possible, solve the equation to find the x coordinate(s) of the point(s) where the curve meets the x axis.

How do you find the coordinates of a tangent to a curve?

In order to find the equation of a tangent, we:

  1. Differentiate the equation of the curve.
  2. Substitute the value into the differentiated equation to find the gradient.
  3. Substitute the value into the original equation of the curve to find the y-coordinate.
  4. Substitute your point on the line and the gradient into.

At what point on the curve y 3x x² the slope is?

Answer: At (4, 0) point on a curve y = 3x – x² the slope is -5.

At what point on the curve y x 3 3x are the values of Y and Y equal?

1 Answer. Hi, If your equation is y=x^3+3x then at the point (1,4) y’=y”.

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For which value of M is the line y MX 1?

The equation of the tangent to the given curve is y = mx + 1. Now, substituting y = mx + 1 in y2 = 4x, we get: Hence, the required value of m is 1.

How to find the coordinates of each point on the curve?

How to find the coordinates of each point on the curve where the tangent line is vertical? . We evaluate the derivative of the function at the point of tangency to find m = the slope of the tangent line at that point. m = ± ∞ means the tangent line is vertical at that point.

How many y-coordinates are there for each value of X?

Since we found two values of x, in step 2, there are two y -coordinates to calculate, one for each value of x . We can see quite clearly that the stationary point at (− 2, − 4) is a local maximum and the stationary point at (2, 4) is a local minimum .

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How do you find the Y-coordinates of stationary points?

Doing this, we get (x + 3) (x – 1) = 0 Leaving x=-3 or x=1 Finally, substitute these values into y = x^3 + 3x^2 -9x -4 and this will give you the y-coordinates to the stationary points. The final answers are therefore (-3,23) and (1,-9) Need help with Maths?

How many stationary points does the curve y = x2 – 4x + 5 have?

We can therefore state that the curve y = x2 − 4x + 5 has one stationary point with coordinates (2, 1) . This result is confirmed, using our graphical calculator and looking at the curve y = x2 − 4x + 5 : We can see quite clearly that the curve has a global minimum point, which is a stationary point, at (2, 1) .