What does dy/dx in math? Please explain

2 answers:

8 0

Dy/dx is used in the advanced forms of math, such as Calculus. In calculus, dy/dx is just another way of taking the derivative of "y with respect to x." Hope this helps!

Anton [14]3 years ago

6 0

(dy/dx) has a very similar meaning to delta(y)/delta(x), that is, the ratio of change in Y to a correspondent change in a variable X. The neat thing though, is that for (dy/dx) this analysis is made for variations of X, that is, for delta(x)'s, that are arbitrarily close to 0 (but are NOT 0) and can, therefore, offer us a rate of change in Y in face of a change in X at ANY given point of analysis, instead of an average over a time period as is the case for delta(y)/delta(x).

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How do you represent a table with linear functions

patriot [66]

A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.

<h3>How to Represent a Table with Linear Function?</h3>

Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:

Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):

Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)

Slope (m) = 20

Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:

5 = 20(1) + b

5 = 20 + b

5 - 20 = b

-15 = b

b = -15

Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:

y = 20x - 15

Learn more about the linear function on: