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 25E
Related questions
Question
do no.5 pls and show full work
Transcribed Image Text:(1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use that
sin x - x
rule to find the limit
(2) Calculate the limit. lim
(4)
(3)
Find the intervals on which function f is concaving up or concaving down and find
the inflection point(s). f(x)= x³ 3x² - 9x +4
In x
x→∞0 √x
(6) If f(x) =
Find the critical numbers of the function. f(x) =
=
(5) Sketch the function (Must show the details)
f(x) = {x² - 2x
2 -
lim
x-0 (e²x) - 1
x+1
(10)
+ cos x
when - 1 ≤ x ≤0
when 0 < x≤ 1
find f(1).
(7) Find the equation of the tangent line at (,0). For y = sin (sinx)
x²+2
2x-1
(8) Implicit Differentiation problem -- If y cos(x) + x = 5 find y" where x = 0. (MUST use
implicit differentiation approach for credit)
(9) Suppose 4x² + y² = 25
(a) If dy/dt = 1/3. Find dx/dt when x = 2.
Note: x and y are length in meters
(b) if dx/dt = 3, find dy/dt when x = -1, Note: Both x and y have negative values.
Find the limit or show it does nor exist (DNE).
lim
X418
2x5-x-2
x4 +3
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