1-4 In z S(z) = 1+4 In z Bring your answer to the simplest possible form.

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Question 1e
1. From our class discussions, recall that
* (z") = nz"-1,
and
(a") = (a") In a
Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the
Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each
of the following functions:
a)
f(x) = 3x* +5
b)
S(z) = VE
c)
S(x) = V2
1
d)
f(x) = xe" + 3z – 5
e)
1-4 In z
1+4ln z
f(x) =
Bring your answer to the simplest possible form.
f)
f(x) = 3*
2. Now, as discussed in class, the absolute value function is formally defined as
x, if x>0
-1, if z<0
f(x) = |2| =
a) Sketch the graph of this function.
b) What is the only critical point of this function? Explain.
Transcribed Image Text:1. From our class discussions, recall that * (z") = nz"-1, and (a") = (a") In a Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each of the following functions: a) f(x) = 3x* +5 b) S(z) = VE c) S(x) = V2 1 d) f(x) = xe" + 3z – 5 e) 1-4 In z 1+4ln z f(x) = Bring your answer to the simplest possible form. f) f(x) = 3* 2. Now, as discussed in class, the absolute value function is formally defined as x, if x>0 -1, if z<0 f(x) = |2| = a) Sketch the graph of this function. b) What is the only critical point of this function? Explain.
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