Hi there!
The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.
For example, take the equation y = x².
Using the power rule, we get:
y' = 2x
If we plug in any x-value into this equation, we can find the slope of the function at any point.
Ex:
x = 0; 2(0) = slope of 0
x = 2; 2(2) = slope of 4
Answer:
I think it's 3/10
Step-by-step explanation:
(x - 2)^2 will always be positive and will have a minimum value of 0
so f(x) will have minimum of 2
Range is [2,∞)
Answer:
8107424
Step-by-step explanation:
combine all the numbers together
9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
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The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter