+² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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This is a practice question given by my professor, and the response. I don't understand why he put 4 on b and a. He then got F'(x) and I'm not sure how. I would appreciate any explaination.

dt
Fcx) =
In(t)
F'(x), determine whether
F is inc
F(x)
дих х
24
4
S dr
바
X In(t)
F'(X) = -1
S dt
4 in (t)
or deer at x= 2020
in(x)
F'(2020) =
+
+
+
+2
>>2
dr
S
4 in (t)
+
d+
In(t)
4
ㅗ
In (x²)
2x
2 (2020)
in(2020)
(-1 +2020) ((1620)) >0
F is inc af
2 In (2020)
x=2020
Transcribed Image Text:dt Fcx) = In(t) F'(x), determine whether F is inc F(x) дих х 24 4 S dr 바 X In(t) F'(X) = -1 S dt 4 in (t) or deer at x= 2020 in(x) F'(2020) = + + + +2 >>2 dr S 4 in (t) + d+ In(t) 4 ㅗ In (x²) 2x 2 (2020) in(2020) (-1 +2020) ((1620)) >0 F is inc af 2 In (2020) x=2020
1²
(b) Define F(x) = fdt for x ≥ 2. Calculate F'(x) for x ≥ 2. Is F increasing
In(t)
I
or decreasing at x = : 2020?
Transcribed Image Text:1² (b) Define F(x) = fdt for x ≥ 2. Calculate F'(x) for x ≥ 2. Is F increasing In(t) I or decreasing at x = : 2020?
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