F(x) = x^2 what is the derivative

Answers

Answer 1
Answer:

Answer:

\displaystyle F'(x) = 2x

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 F(x) = x^2

Step 2: Differentiate

  1. Basic Power Rule:                                                                                         \displaystyle F'(x) = 2x

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

Unit: Differentiation

Answer 2
Answer:

Answer:

F^(')(x) = 2x

Step-by-step explanation:

F(x) = x²

differentiate F(x) with respect to x

F^(')(x) = 2x


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What is 82/100 in its simplest form?

Original amount 85. new amount 56

Answers

There is a 29 difference between the two.
29 amount difference. The equation would be, 85-29=56.

What is the value of 8 in 686,293

Answers

The answer is 80,000. I learned how to solve this many years ago by finding the number in the problem then simply adding zeros after it in replacement for the rest. Also know as eighty thousand

Write an equation that has (1, 2) as a solution. Substitute (1, 2) into the equation to verify your answer.

Answers

let's try with y = 2x

if we substitute x = 1
y = 2*1
y = 2

so the equation is valid

What is the weight of scissors in grams

Answers

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What is k+3 3/4 = 5 2/3 - 1 1/3

Answers

k+3 3/4=5 2/3-1 1/3
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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service is 264.70.a.write an equation in point slope form to find the total price y for any number of monthes x.(hint:the point (6,264.70)is a solution to the equation.)
b.write the equation in slope intercept form.
c.what is the setup fee?​

Answers

Final answer:

The setup fee for the cable service can be found by creating an equation using the given point and solving for the y-intercept. This y-intercept, in this context, represents the setup fee.

Explanation:

Firstly, we understand that the cost per month for the premium cable is $39.95. Considering this cost as a rate, we can say that the total monthly cost can be calculated by multiplying the number of months with the rate per month. The setup fee is a fixed cost, and thus it doesn't change with the number of months.

To find this setup fee, we need to find the y-intercept. In this situation, the y-intercept, denoted usually as b in the slope-intercept form equation y = mx + b, is the setup fee.

So let's solve it step-by-step:

  1. Given the point (6, 264.70) substitutes into the equation as x and y. We can set up the following equation from this point: 264.70 = 39.95*6 + b.
  2. After multiplying and subtracting, we solve for b. The value of b comes out to be the setup fee.

So, the setup fee is found out by subtracting from the total cost of 6 months, the cost of the cable service for these 6 months.

Learn more about slope-intercept form here:

brainly.com/question/29146348

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