MATHEMATICS HIGH SCHOOL

Given (x)=-x²+2x,determine
F'(x) using first principle

Answers

Answer 1
Answer: Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

\lim_(h \to 0) \frac{f(x+h)-f(x) } {h}


f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

\lim_(h \to 0) \frac{f(x+h)-f(x) } {h}=\lim_(h \to 0)(-2hx-h^2+2h)/(h)=\lim_(h \to 0)(-2x-h+2)/(1)=-2x+2

Related Questions

Kurt earns 8.90/h and works 40 hours a week. What is his gross annual income?
A rectangular prism with a length of 22 meters a width of 18 meters and a height of 10 meters A) 3247 sq.mB) 2563 sq.mC)1592 sq.mD) 1789 sq.m
A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
Plz answer this question...
If y=3x +2 when X = 3 find the value

On an architect's plan for a house, the scale reads ½ in. = 5 ft. How long is the actual length of a room that's 2 in. long on the drawing?

Answers

Answer: 20ft

Step-by-step explanation:

Answer:

the answer is 20 feet

Step-by-step explanation:

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.

Answers

For this case we have the following variables:

h: Cost of each hamburger bought by Jana and her friend

f: Cost of each order of potato chips bought by Jana and her friend

b: Cost of each milkshake

If you bought 4 hamburgers, 3 orders of potatoes and 2 milkshakes, you have a cost of:

Cost = 4h + 3f + 2b

It is known that each shake costs $ 3, sob =3$

Substituting we have:

Cost = 4h + 3f + 2 * 3

Cost = 4h + 3f + 6

Thus, the total cost is given by:

Cost = 4h + 3f + 6

Answer:

Cost = 4h + 3f + 6

Option C
I believe the correct answer is C

44/5 as a mixed number

Answers

negative 8 4/5 sorry if it`s wrong
The greatest amount of times 5 goes into 44 is 8, 8*5=40. There are 4 left over, so it's 8 4/5

1.What is the probability of choosing a face card from a deck of 52 cards (face cards are jacks, queens, and kings)? What is the probability of the 2nd card being a face card if the first card was a king? (Without replacement.)

Answers

P(A)=(|A|)/(|\Omega|)\n\n 1.\n |\Omega|=52\n |A|=12\n P(A)=(12)/(52)=(3)/(13)\n\n 2.\n |\Omega|=51\n |A|=11\n P(A)=(11)/(51)

Answer:

The answer is B

Step-by-step explanation:

Since order doesn't matter all you need to know is wheter you got two number cards, two face cards, or one number card and one face card.

12x2 – 14x - 10
Factored form

Answers

Answer:

2(2x + 1)(3x - 5)

Step-by-step explanation:

Create an equation. Use the graph below to create the equation of the rainbow parabola.Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0.
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answers

Remember that a quadratic with two real zeroes can be written as a(x - r_1)(x - r_2), where a is a constant and r_1 and r_2 are the zeroes (or roots) of the function. Since the graph shows that the two zeroes are at -6 and 6, the equation has to be of the form

y = a(x - ({-6}))(x - 6), or
y = a(x + 6)(x - 6)

To solve for a, let's use the point at the vertex (0, 36) and plug that in:

36 = a(0 + 6)(0 - 6)
36 = {-36}a
a = {-1}
(It makes sense that a is negative since the parabola opens down.)

So, the equation of the parabola is

y = -(x + 6)(x - 6), or
\bf y = -x^2 + 36

Now for the second part, just pick any two points with which we can draw a line with a positive slope. I'll use x = -2 and 1:

y = -({-2})^2 + 36 = {-4} + 36 = 32
y = -(1)^2 + 36 = {-1} + 36 = 35

So, our two points are (-2, 32) and (1, 35). To find the equation of the linear function that goes through these two points, let's use slope-intercept form, which is f(x) = mx + b. The slope m is given by (y_2 - y_1)/(x_2 - x_1), so

m = (y_2 - y_1)/(x_2 - x_1) = \frac{35 - 32}{1 - ({-2})} = 1
So, the equation of the linear function so far is just f(x) = x + b, and we can find b by plugging in one of the points on the line:

35 = 1 + b
b = 34

Thus, the equation of the linear function is

\bf f(x) = x + 34

And you can find more points on the line simply by plugging other values of x, such as (0, 34) and (5, 39).
Other Questions
Using the slope​ formula, find the slope of the line through the given points. (2,5) and (4,9)
Please help simple math problem.
Hii pls help i’ll give brainliest if you give a correct answer tysm
Please help me, find the slope and y intercept and then write the linear equation from the x/y table