What is the derivative of x cubed?

Answers

Answer 1
Answer:

Answer:

\displaystyle (dy)/(dx)[x^3] = 3x^2

General Formulas and Concepts:

Calculus

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle y = x^3

Step 2: Differentiate

  1. Basic Power Rule:                                                                                            \displaystyle y' = 3x^(3 - 1)
  2. Simplify:                                                                                                             \displaystyle y' = 3x^2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Differentiation


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Given vectors a and b, which operation does the green vector show? options: 2a + ba - b a + bab
Calculate f(4) for each function below
Whats the answer of -5/8 6/10 its greater than and less than or equal

Simplify (7-5i)(-3+9i)-(5+6i)^2

Answers

(-21 + 63i + 15i - 45i^2) - (25 + 60i + 36i^2) =

(-21 + 78i + 45) - (-11 + 60i) =

24 + 78i - 60i + 11 =

35 + 18i

Find the sum of the given polynomials.5m + 2n, n - 3m, and 7 - 3n
7 - 2m
2m + 7
14m + 5n - 6
9m

Answers

(5m + 2n) + (-3m + n) + (-3n + 7)
(5m - 3m) + (2n + n - 3n) + 7
2m + (3n - 3n) + 7
2m + 7

The answer is B.
answer is B.............

Which expressions are equivalent to 3x + 2(x − 1) − 4? A.) 3x + 2x - 2 - 4 B.) 5x - 6 C.) 3(x - 4) D.) 3(x + 2) - 6 E.) 6(x - 1)

Answers

Answer:

A and B.

Step-by-step explanation:

The original expression is 3x+2(x-1)-4, so let's simplify it to obtain an equivalent expression:

First we destroy the parenthesis applying distributive property:

3x+2x-2-4, so option A is correct.

Then, add the similar terms (3x can be added with 2x and -2 can be added with -4):

5x-6, so option B is also correct.

C is not correct because 3(x-4) = 3x-12 ≠ 5x-6.

D is not correct because 3(x + 2) - 6 = 3x+6-6 = 3x ≠ 5x-6.

E is not correct because 6(x - 1) = 6x-6 ≠ 5x-6.

Then, correct options are A and B.

Multiplication takes precedence
Execute the command multiplication bracket

3x + 2* (x - 1)  - 4 =
3x + 2* x + 2* (-1 )  - 4 =
3x + 2x - 2 - 4 = 

We reduce similar words

3x + 2x - 2 - 4 = 
5x - 6

Answer B  

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Answers

answer is 7.66"or 7.7"
cos40=x/10
calculate # 10*cos40
*note .. in your calculator don't forget to 'Degree'
[calculate]
10*cos40
answer is 7.7"

The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

Learn more about Mathematical functions here:

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Help me solve this problem please

Answers

Answer:

c

Step-by-step explanation: