<h2>
Answer:</h2>
The derivative of the function f(x) is:

<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as:

We have:

( Since,
)
Hence, we get:

Also, by using the definition of f'(x) i.e.

Hence, on putting the value in the formula:

Hence, the derivative of the function f(x) is:

Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Answer:
51/200
Step-by-step explanation:
To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:
0.255 = 255/1000
Then we simplify
51/200
That it is 4,6090 because when u divide that ,400 by 2,400 u will get 4,000
Answer:
You can run Design of experiments to quicky collect data and fine tune an analyze you data and information. Run the experiment multiple times to confirm the data. This will help you with trend analysis.
Step-by-step explanation: