1. Power Rule: d dx Special Case of this: (x²) = nx" 4. Quotient Rule: n-1 U ( ² )' = d dx 2. Addition/Subtraction Rule: (uv)' =u'±v' 3. Product Rule: (uv)' =u'v+uv' u'v - uv v² 1 (VB) = 2√/F (√x) Given the Cost function is C'(x) = (5x - 2) (3x² +4x) What is the formula for Marginal Cost? MC = C'(x) =

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 37E
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Derivative Rules:
1. Power Rule:
d
dx
(2”) = nử-1
Special Case of this:
4. Quotient Rule:
2. Addition/Subtraction Rule:
3. Product Rule: (uv)' = u'v + uv'
u'v - uv
v²
(²) ²=
d
dx
(√x)
=
(You do not need to simplify)
1
2√x
(utv)' =u'±v'
Given the Cost function is C(x) = (5x - 2) (3x² + 4x)
What is the formula for Marginal Cost?
MC = C'(x) =
Transcribed Image Text:Derivative Rules: 1. Power Rule: d dx (2”) = nử-1 Special Case of this: 4. Quotient Rule: 2. Addition/Subtraction Rule: 3. Product Rule: (uv)' = u'v + uv' u'v - uv v² (²) ²= d dx (√x) = (You do not need to simplify) 1 2√x (utv)' =u'±v' Given the Cost function is C(x) = (5x - 2) (3x² + 4x) What is the formula for Marginal Cost? MC = C'(x) =
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