What does the notation f prime of x mean?

1 answer:

8 0

F ' (x) represents the derivative of a function. Primarily used in calculus, the derivative is the rate of change on a nonlinear system.
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b).
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.

You might be interested in

Please please help me out

masya89 [10]

Answer: y = 3x + 1

Step-by-step explanation:

The equation is in Slope-Intercept format: y = mx + b where

m is the slope (difference in y's over difference in x's)
b is the y-intercept (value of y when x = 0)

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3$

b = 1 refer to the table that shows y = 1 when x = 0

Now input m = 3 and b = 1 into the Slope-Intercept formula:

y = 3x + 1

8 0

2 years ago

Solve the following equation: 6x-3= 5x-5

Ilya [14]

Answer:

-3.66

Step-by-step explanation:

6x-3=-25

6x=-22

X=-3.66

6 0

3 years ago

HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

frez [133]

Answer:

Step-by-step explanation:

It be wayyy to much to put 13 it would make the mean 9 8 is perfect

5 0

3 years ago

NEED HELP WITH FUNCTIONS

horrorfan [7]

Answer:

#############################

3 0

3 years ago

Determining probability of events. please help!

Aneli [31]

I am inclined to think that it is A. or B. Because they represent the highest probability, if it is not those it might be D.

This probably didn’t help, but if it did. I am glad （╹◡╹）

6 0

3 years ago