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Derivative Rules: 1. Power Rule: 4. Quotient Rule: Special Case of this: Given f(x) y = d dx 3 (x² (2) =nx X 2. Addition/Subtraction Rule: (utv)' =u'±v' 3. Product Rule: (uv)'=u'v+uv' (²) ² = 5 x² n-1 You do not need to simplify d dx (√x) = 1 2√x u'v - uv v²

Derivative Rules: 1. Power Rule: 4. Quotient Rule: Special Case of this: Given f(x) y = d dx 3 (x² (2) =nx X 2. Addition/Subtraction Rule: (utv)' =u'±v' 3. Product Rule: (uv)'=u'v+uv' (²) ² = 5 x² n-1 You do not need to simplify d dx (√x) = 1 2√x u'v - uv v²

Calculus For The Life Sciences
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: (x²) =n-1 d dx 1 (√) -2/2 2√x 2. Addition/Subtraction Rule: (u±v)'= u'±v' 3. Product Rule: (uv)'= u'v +uv' u'v – uv v² Special Case of this: 4. Quotient Rule: Given f(x) U X V 3 5 X2 y = You do not need to simplify d dx
Transcribed Image Text:Derivative Rules: 1. Power Rule: (x²) =n-1 d dx 1 (√) -2/2 2√x 2. Addition/Subtraction Rule: (u±v)'= u'±v' 3. Product Rule: (uv)'= u'v +uv' u'v – uv v² Special Case of this: 4. Quotient Rule: Given f(x) U X V 3 5 X2 y = You do not need to simplify d dx
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