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# How do you find the rate of change?

11 months ago

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119 Replies

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3415 views

V

Vickie Shanahan

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119 Answers

E

Ekhveer Virk

Good depending at what level you teach

T

Tayyub Aslam

The change of 'y' divided by the change of 'x'

P

Prateeti

Use differentiation

For example, if we let a curve have a function y=f(x), and we know two points in the curve such as point P with coordinates (x,f(x)), and point Q with coordinates (x+h,F(x+h)), we workout the gradient of the curve by doing the change in Y coordinates divided by the change in X coordinates. After substituting the values into the formula for the gradient and simplifying, you will get the formula for differentiation from first principles !!!

s

syedahejab shah

from the graph, you will work out the change in the y-axis and divide this by the change in the x-axis.

A

Adeola Adedigba

You were not so specific about the exact rate of change you are hoping to find.

However, This should be a guide for you.

*Rate of change =Change in output / Change in input*

*= Δ𝑦 / Δ𝑥*

*=(𝑦2−𝑦1) / (𝑥2−𝑥1)*

*=(𝑓(𝑥2)−𝑓(𝑥1)) / (𝑥2−𝑥1)*

D

Damodharan Ranga Swamy

In math, you calculate the rate of change by using the coordinate points in a 2-d plane. The most practical way of understanding the rate of change is by studying & understanding velocity. Velocity can be defined as the rate of change in position. The rate of change in velocity gives us acceleration.

I hope this made sense.

O

Omar Choudhry

Rate of change = (Change in quantity 1) / (Change in quantity 2)

A

Alexander Burns

Rate of change = (Change in quantity 1)/ (Change in quantity 2)

M

MAYOKUN OKUSANYA

If you are talking about the gradient then take the difference in y and divide it by the difference in x

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The rate of change is the ratio of the absolute change of quantity 1 to the absolute change of quantity 2:

(x2-x1)/(y2-y1)

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A

Adrian Vecina Tercero

You can imagine the rate of change as **how much something is changing in respect to something else**. So if we have some value **Y** that is changing with respect to **X **we can work out the rate of change by dividing the change in **Y **by the change in **X.**

For example, if **Y **goes from 3 to 5, while **X** goes from 6 to 10, we know that the rate of change is (5-3) / (10-6) = 2 / 4 = 0.5. So in this case, the rate of change is a half (1/2).

I

Isra Ehbal

The rate of charge is great for the lessons

S

Svm tujtuj

To find out the rate at which a value has changed we find the difference between the 2 values first. We then find the difference as a percentage of the original value this is done by dividing the difference by the original value and then multiplying it by 100. This can be demonstrated by: ((New Value -Original Value) / Original Value) x 100.

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find the change in y over change in x using triangle on give graph

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S

Simranjeet Nagi

By differentiating the function, then inputting a value to find the rate of change at said value

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