1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vitfil [10]
3 years ago
10

Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

f'(x) = -28 \ at  \ x = 2

Step-by-step explanation:

f'(2) =  \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) =   \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\

       = \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28

You might be interested in
Can someone answer this please<br> Questions 19 and 21
Olegator [25]

Answer:

Wind speed

Another very old approach to measure wind speed is through the use of a pressure tube

Microbars per second

Earthquake intensity

The currently accepted method is the moment magnitude scale, which measures the total amount of energy released by the earthquake.

The Richter scale is used to determine the intensity of earthquakes

Step-by-step explanation:

3 0
3 years ago
Can i have some help
SVETLANKA909090 [29]

Answer:

b. m = 2, b = 4

Step-by-step explanation:

y = mx + b

m = slope and b = y-intercept

The slope is 2 cause it's going up 2 squares while only going to the right one square each time, so u could right 2/1 but it's not necessary so just 2. And the intercept is 4 because that's where the line intercepts the y-axis.

8 0
3 years ago
Graph the six terms of a finite series where a1 = −3 and r = 1.5.
s344n2d4d5 [400]
We are given the first term and the common ratio, this means they belong to a geometric series.

For the given series:

a_{1}=-3 \\ &#10;r=1.5

Each term of the geometric series is obtained by multiplying the previous term by common ratio.

So the next terms will be:

-4.5, -6.75, -10.125, -15.1875, -22.78125

The general formula for the G.P would be:

a_{n}=-3(1.5)^{n-1}

On plotting the series, the result will be like this:

6 0
3 years ago
Read 2 more answers
Whats the area of a polygon with vertices A(2,3) B(12,3) C(6,0) and D(2,0)
Vanyuwa [196]
This shape is trapezoid

top of the trapezoid is 10 (12-2)

and the bottom is 4 (6-2)

the height in 3 (3-0)


so the area will be
((10+4)  \times 3) \div 2  \\  = (14 \times 3)  \div 2 = 42 \div 2 \\  = 21
the area is 21
6 0
3 years ago
. Complete each equation with a number so that the equation has the stated solution(s). a) x^2+7=x^2+_____; no solution
Lemur [1.5K]

Answer: other than 7

Step-by-step explanation:

Given

Equation is x^2+7=x^2+?

For an equation to have no solution, the missing number can be any number other than 7

because if we put 7 then it justifies the equation i.e. 7=7 while on the other hand for a number other than 7, it does not justify the equation.

5 0
3 years ago
Other questions:
  • The ocean surface is at 0 ft elevation. A diver is underwater at a depth of 138 ft. In this area, the ocean floor has a depth of
    9·2 answers
  • Please help!! Is this statement always,sometimes,or never true
    11·2 answers
  • Name
    13·2 answers
  • There are 11 different actor auditioning for the roles of Larry, Curly, and Moe. How many ways could the roles be cast?
    10·1 answer
  • Graph the line by plotting y=x+8​
    5·1 answer
  • Ram’s father is 38 years old. His age is three more than five times the age
    15·1 answer
  • The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound.
    13·1 answer
  • A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the t
    10·1 answer
  • Aaron wraps presents in a store
    12·1 answer
  • a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!