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.
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Answer:
3, 3 x 3 is 9 ( maybe)......
Answer:
Adult - 40
Student - 160
Step-by-step explanation:
<h2>PLEASE MARK ME AS BRAINLIEST</h2>
the number of small cars rented is 6.
The number of large cars rented is 8.
Step-by-step explanation:
Step 1 :
Each small car can hold = 5 people
Each large car can hold = 8 people
Step 2 :
Number of small cars rented = x
Number of large cars rented = x + 2
Step 3 :
Altogether the total cars can hold 94 people.
Total people = 5 people (No. of small cars) + 8 people (No. of large cars)
94 = 5 (x) + 8 (x+2)
94 = 5x + 8x + 16
78 = 13x
x = 78/13 = 6
∴ Number of small cars, x = 6 small cars
Number of large cars, x+2 = 8 large cars.
1. The mean of all the numbers is 41.
5. Median : 52
