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
garik1379 [7]
1 year ago
8

I need help!

Mathematics
1 answer:
arsen [322]1 year ago
7 0

The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

<h3>What is the instantaneous rate of change of the function at the given point?</h3>

The instantaneous rate of change is simply the change in the derivative value at a specific point.

Given the data in the question;

  • f(x) = −4x² − 3x + 1
  • Point x = -3

To determine the instantaneous rate of change of the function, first find the derivative of the function.

f(x) = −4x² − 3x + 1

Applying sum rule, with respect to x

d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]

[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]

[ -8x ] + [ -3 ] + d/dx[ 1 ]

-8x - 3 + d/dx[ 1 ]

Differentiate using constant rule

-8x - 3 + [ 0 ]

-8x - 3

f'(x) = -8x - 3

Next, plug x = -3 into the derivative and simplify.

f'(x) = -8x - 3

f'(-3) = -8(-3) - 3

f'(-3) = 24 - 3

f'(-3) = 21

Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

Learn more about instantaneous rate of change here: brainly.com/question/28122560

#SPJ1

You might be interested in
What is the product simplest form stat any restrictions on the variable 3g^5/10h^2 x h^5/10g^2
Leno4ka [110]
The restriction are that neither h nor g may equal zero as that would lead to division by zero.

The simplification after units cancel is:

(3(gh)^3)/100 or if you prefer

0.03(gh)^3
6 0
3 years ago
Y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent ​
defon

Answer:

mild illness, it can make some people very ill. More rarely, the disease can be fatal.Older people, and those with pre- existing medical

3 0
2 years ago
Read 2 more answers
What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu
uysha [10]
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
4 0
3 years ago
The slope and y intercept
Fudgin [204]

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

5 0
3 years ago
What is the mean for the following set of data?
Softa [21]

Answer:

9

Step-by-step explanation:

5,7,8,10,12,12

5+7+8+10+12+12=54

54/(how many numbers there are, which is 6)=9.

Your mean value is 9.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which point(s) are on the graph of the following parametric equations?
    15·1 answer
  • Find (7 × 10^5) + (2 × 10^3).
    5·1 answer
  • Use the distributive property to simplify the following expression 4x(2x-6)
    5·1 answer
  • Whats an strategy you could use to compare 2 out of 6 and 5 out of 8
    8·1 answer
  • Factor the expression completely.<br> xy^4 - x^2y
    6·1 answer
  • Solve the equation<br><br> 2.5 - 2.5X = 7
    9·2 answers
  • Frank’s quarter grades are 82.5, 94.7, and 87.9. What grade, rounded to the nearest percent, will Frank have to earn in the last
    10·1 answer
  • Noah spins 2 spinners at the same time. Each spinner is numbered 1 through 4. If each spinner can land only in one of the number
    11·2 answers
  • Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0
    12·1 answer
  • WILL MARK BRAINLIEST
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!