Use the limit definition of the derivative function to find 4 x . Which of the following is the correct step that comes just before using direct substitution to evaluate the limit? (Tip: work out the steps on your own paper, then return to view the answer choices.) Hint: (x+h)³ - (x² + 2æh + h²)(x+ h) = x3 + 2x?h + xh² + x?h+2xh² + h³ = x³ + 3x?h + 3xh? + h³ lim 3x? + 3xh? + h³ h → 0 lim 3x2 + 3xh + h? h → 0 lim 3x2 + 3x + h² h → 0
Use the limit definition of the derivative function to find 4 x . Which of the following is the correct step that comes just before using direct substitution to evaluate the limit? (Tip: work out the steps on your own paper, then return to view the answer choices.) Hint: (x+h)³ - (x² + 2æh + h²)(x+ h) = x3 + 2x?h + xh² + x?h+2xh² + h³ = x³ + 3x?h + 3xh? + h³ lim 3x? + 3xh? + h³ h → 0 lim 3x2 + 3xh + h? h → 0 lim 3x2 + 3x + h² h → 0
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 2E
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