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3 years ago

Estimate the rate of change of the graphed function over the interval -4 ≤ x ≤ 0

Mathematics

1 answer:

Andrews [41]3 years ago

8 0

We need the graph to answer.

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Derivative of (2x+5)^4(5x+2)^-2

Sveta_85 [38]

Use chain rule

$\frac{d}{dx}f(x)g(x)=f'(x)g(x)+g'(x)f(x)$

and also power rule
$\frac{d}{dx} x^m=mx^{m-1}$

so

well, we will say $f(x)=(2x+5)^4$ and $g(x)=(5x+2)^{-2}$
$f'(x)=4(2x+5)^3(\frac{d}{dy}(2x+5))=4(2x+5)^3(2)=8(2x+5)^3$
$g'(x)=-2(5x+2)^{-3}(\frac{d}{dx}(5x+2))=-2(5x+2)^{-3}(5)=-10(5x+2)^{-3}$

so
$\frac{d}{dx}(2x+5)^4(5x+2)^{-2}=8(2x+5)^3(5x+2)^{-2}+(-10(5x+2)^{-3})(2x+5)^4)$
simplify yourself

3 0

3 years ago

FIVE STARS AND BRAINLIEST TO CORRECT ANSWER

lianna [129]

Simply take the derivative of s(t),
s'(t) = -6

Since the velocity is constant, v(t) = s'(t) = -6 at any given time t.

6 0

3 years ago

What is the measure of ∠C?

tester [92]

The answer to this is 99.

You take all known values and subtract it from 360.

360-132-39-90=99.

7 0

3 years ago

The total number of seats in an auditorium is modeled by the function

siniylev [52]

There are 16 rows in the auditorium

4 0

2 years ago

A month with 31 days has the same number of Mondays and Wednesdays. How many of the seven days of the week could be the first da

Anvisha [2.4K]

Answer: b. 3

Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days

Step-by-step explanation:

Given that there are 31 days in the month.

And there are equal number of Mondays and Wednesdays within a 7 day bracket.

30 - 4(7) = 3days

After four weeks we are left with three days.

So, if the first day is;

Monday - we will have 5 Mondays and Wednesdays each

Tuesday - we have more Wednesday

Wednesday - we will have more Wednesday

Thursday - we will have 4 Mondays and Wednesdays each

Friday - we will have 4 Mondays and Wednesdays each

Saturday - we will have more Monday

Sunday - we will have more Monday

Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days

7 0

3 years ago