Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.
The rate of change <u>from x = 0 to x = 2</u> is given by:
From <u>x = 2 to x = 4</u>, it is given by:
The average of these rates is:
Hence, the best estimate of f '(2) based on this table of values is of 10.
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Answer:
3,
3x+5
Step-by-step explanation:
DIFFERENTIATE W.R.T. X
3
EVALUATE
3x+5
Y= 3/2x would be the answer.
Answer:
y = 2/3x + 1/3
Step-by-step explanation:
Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).
From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.
y - 1 = 2/3x - 2/3
Then, add 1 to both sides.
y = 2/3x + 1/3
