# Math

posted by .

How can I determine a value of gradient from a graph if the line is curved. (not a straight line)

This is where Calculus comes in

If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you draw at a particular point on that curve.

You can do it graphically by drawing the tangent line, but this is not very accurate. If you need to be as accurately as possible, you should read-off many points from the graph in the neighborhood of the point where you want to measure the gradient.

You then fit a polynomial function through the points. You must take the number of points to be much larger than the degree of the polynomial fit function. Then you extract the derivative from the results of the fit.

## Similar Questions

1. ### Electricity

Just a quick one: Is current (I) directly proportional to resistance (R) in a piece of resistance wire?
2. ### math

On a straight line graph, if the line is going this way \ and the co ordinates that I have are (0,4) and (5,0), then what is the gradient?
3. ### math

what is the slope of-6,3 -2,-9 help -6,3 -2,-9 I take these are coordinates. Gradient of a line is given by: (y2-y1)/(x2-x1) so y2=3, y1=-9 x2=-6, x1=-2 substitute in to the above and calculate the gradient.
4. ### maths

find the gradient and y ntercept of the line with equation: y = 9 - 4x choose the one option which gives the gradient and one option which gives the y intercept from the list below. -9, -4, -9/4, -4/9, 4/9, 9/4, 4, 9 can any1 help …
5. ### science

A Graph Shows Distance On The Vertical Axis And Time On The Horitzonal Axis. If The Speed Is Steadily Increasing. What Will The Line Representing Speed Look Like On The Graph?
6. ### Math

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A The gradient of the line is 3. B The gradient of the line is −3. …
7. ### Mathamatics

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A) The gradient of the line is 3. B) The gradient of the line is …
8. ### math

With regards to question J: The variables x and y are connected by the equation y = x2 - x - 5. Some corresponding values of x and y are given in the table below. x -4 -3 -2 -1 0 1 2 3 4 5 y 15 7 a -3 -5 b -3 1 7 15 (a) Calculate the …
9. ### math

Q2.Plot three points with second coordinate equal yo (1.3) and join them . Q3.What is the slope of the line y= -1/3x +3 (B)Does it slope upwards?
10. ### chemistry help meee

okay so I'm given a graph of a melting profile of a macromolecule, it is a sigmoid "s" curve, which states that a protein is cooperative. I have four choices on what the graph will look like if it is uncooperative. 1) Graph 1- straight …

More Similar Questions