All categories

3 years ago

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

Write in form y=mx+b I will give brainiest to correct answer

Viktor [21]

Step-by-step explanation:

y=mx+b (m is the slope, b is the y-intercept)

To come with sope choose two points from the graph (6,20), (4,30)

Then

m=(Y2-Y1)/(X2-X1) =(4-6)/(30-20)=-1/5

b= 50 (y-intercept)

SO y=-1/5x-50

I hope this helps

5 0

2 years ago

Read 2 more answers

What is the slope of the line?

Leya [2.2K]

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m= $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-3-3}{0-(-2)}$ ==> $\frac{-3-3}{0+2}$ ==> $\frac{-6}{2}$ = $-3$

Our final answer is -3.

Hope that helps!

5 0

2 years ago

The number of necklaces Lilly can make varies directly with the amount of time she spends making the necklaces. She can make 6 n

Fantom [35]

Answer:

Step-by-step explanation:

Number of necklace= k × amount of time spent

6= k × 2/5

K = 6÷2/5

K= 6×5/2

K= 15

Therefore the number of necklace made in 5 hours can be calculated as follows

15 = number of necklace ÷ 5

Number of necklace = 15 ×5

Number of necklace = 75

5 0

2 years ago

Read 2 more answers

-2.25 as a fraction

denis-greek [22]

- 2 1/4 (mix fraction)
- 9/4 (improper fraction)

5 0

3 years ago

What is the perimeter of the polygon defined by the points A(12, 20), B(20, 20), C(20, 8), and D(12, 8)? a 64 units b 144 units

Rzqust [24]

Answer:

d. 40 units

Step-by-step explanation:

The length of the horizontal side of this rectangle on the line y=20 is the difference of the x-coordinates, 12 and 20, so is 8. The length of the vertical side on the line x=20 is the difference of the y-coordinates, 20 and 8, so is 12.

Two sides are of length 8 and two are of length 12. The perimeter is the sum of the side lengths, so is ...

P = 2·8 +2·12 = 40 . . . units

3 0

3 years ago