Answer:
up and down is positive, side by side is negitive diagnoal lines are negitive. so undefined is anything under the x axis that doesn't go over the line
Answer:
2
Step-by-step explanation:
This is because it got 2 times bigger
Answer:
the other two dimensions are (x + 1) and (x - 6)
Step-by-step explanation:
Given;
Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12
factor of the function as height of the refrigerator, = x + 2
Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;
x² - 5x - 6
--------------------------------------
x + 2 √ x³ - 3x²- 16x - 12
- (x³ + 2x²)
------------------------------
-5x² - 16x - 12
- (-5x² - 10x)
-------------------------------
-6x - 12
- (-6x - 12)
--------------------------------------
0
Factorize the quotient ( x² - 5x - 6);
x² - 5x - 6 = x² + x -6x - 6
= x (x + 1) - 6( x + 1)
= (x + 1) (x - 6)
Thus, the other two dimensions are (x + 1) and (x - 6)
Answer: 
Step-by-step explanation:
Let u be a differentiable function , then
(1)
Given function : 
Differentiate both sides with respect to x , we get
(By using (1))
[∵
]
Hence, the derivative of the given function is
.