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3 years ago

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Can someone explain to me what a “derivative” means? How do you find the derivative of f(x)=x^3+1?

1 answer:

Ostrovityanka [42]3 years ago

4 0

The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.

If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.

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Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.

ValentinkaMS [17]

The inequality representation of the scenario is :

5m + 8c ≤ 25
m = 1 and c = 1

Number of mugs = m
Cost per mug = $5
Number of ground coffee = c
Cost per ground coffee = $8
Total amount to spend = $25

(Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

Using trial by error :
m = 1 and c = 1
5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

3 0

3 years ago

Help, two of these questions plz

Olenka [21]

Answer:

First Answer: y= 64 and x=64

Second Answer: 1&4, 2&3, 6&7, 5&8

Step-by-step explanation:

First Answer: 63 and ∠y is the same measure since there are

Second answer: They are vertical angles, each of the pairs of opposite angles made by two intersecting lines.

Hope this helps:)

4 0

3 years ago

Read 2 more answers

Vlada [557]

Option 3: $2^{\frac{5}{6}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{2})(\sqrt[3]{2} )$

In order to simplify the expression we have to convert the radicals in exponents

$2^{\frac{1}{2}} . 2^{\frac{1}{3}}$

As he base is same, the powers can be added

$=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}$

Hence,

Option 3: $2^{\frac{5}{6}}$ is the right answer

Keywords: Exponents, radicals

Learn more about exponents at:

#LearnwithBrainly

6 0

3 years ago

PLEASE HELP ASAP!!<br> means a lot!!

egoroff_w [7]

The correct answer is:
$B) \: y + 1 = \frac{4}{3} (x - 9)$

6 0

4 years ago

I really need an answer as soon as possible. 10 pts worth it

viva [34]

Answer:

A. Correct: When we plug in g(x) for the x in f(x), we get H(x).

B. Correct: When we plug in g(x) for the x in f(x), we get H(x).

C. Correct: When we plug in g(x) for the x in f(x), we get H(x).

D. Correct: When we plug in g(x) for the x in f(x), we get H(x).

Step-by-step explanation:

<em>Brainliest, please!</em>

8 0

3 years ago