Answer:
4.62 x 10^5
Step-by-step explanation:
You just plug in the x and y values
4(5) is greater than or equal to 3(6) + 2=
20 is greater than or equal to 20. so x=6 and y =5 is the answer. do you understand?
Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)
Answer:
Step-by-step explanation:
y = 2x + 3 {y = mx + b}
In Function A, rate of change is 2
Function B:
Rate of change = Change in y÷ change in x
![= \frac{11-7}{0-[-1]}\\\\=\frac{11-7}{0+1}\\\\=\frac{4}{1}\\\\= 4](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B11-7%7D%7B0-%5B-1%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B11-7%7D%7B0%2B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B1%7D%5C%5C%5C%5C%3D%204)
In function B, rate of change is 4
Least: Function A
Greatest: Function B
Answer:
I think it’s the associative property
