Why is the notation startfraction dy over dx endfraction used to represent the derivative?

We know expression is used for represent the derivative.

Actually, derivative is the second name of " Rate of Change".

And if we read , it represents the "Rate of change of y with respect to x".

In simple words, a derivative is the rate of change or slope of a very small portion of a function.

dy represents very small change in y-coordinate and dx  represents very small change in x-coordinate.

Because deriviate is the second name of " a very small rate of change".

We use to represent the derivative.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )