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
(3x − 5) − (4x + 6)
Pretend that there is a 1 in front of the first bracket.
Pretend that there is a -1 in front of the second bracket.
Multiply the first bracket by 1
(1)(3x)=3x, (1)(-5)=-5
Multiply the second bracket by -1
(-1)(4)=-4, (-1)(6)=-6
3x-5-4x-6
3x-4x-5-6 ( combine like terms)
-x-11
Answer: -x-11 or -11-x
The appropriate fraction when the number is raised to higher terms will be 14/21.
<h3>How to compute the fraction?</h3>
It should be noted that when we sat raising that fraction to higher terms, it implies that changing the numerator and the denominator to higher numbers to reflect the fraction.
Here, the given number is 2/3. When it's raises higher, the appropriate fraction will be:
2/3 = x/21
x = (2 × 21)/3
x = 42/3
x = 14
Therefore, the fraction will be 14/21.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Answer:
7/3
Step-by-step explanation:
or, 3x/4 - 7/8 = 7/8
or, 3x/4=7/8+7/8
or, 3x/4 = (7+7)/8
or, 3x/4 = 14/8
or, 3x = (14/8)*4
or, 3x=56/8
or, 3x= 7
or, x=7/3
Answer:
an=an-1
Step-by-step explanation:
as it doesnt have -6 +3n
