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Find the derivative of the function. 2x³ + 2x² X f(x) =

Find the derivative of the function. 2x³ + 2x² X f(x) =

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.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 13CR
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Find the derivative of the function. 2x³ + 2x² X f(x) = Step 1 The function f(x) can be simplified to make the algebraic process of finding the derivative easier. f(x) = = 2 +2 Submit Skin (you cannot come back!!
Transcribed Image Text:Find the derivative of the function. 2x³ + 2x² X f(x) = Step 1 The function f(x) can be simplified to make the algebraic process of finding the derivative easier. f(x) = = 2 +2 Submit Skin (you cannot come back!!
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Find the derivative of the function. 2x³ + 2x² X f(x) Step 1 The function f(x) can be simplified to make the algebraic process of finding the derivative easier. f(x) = 2 f'(x): = Step 2 Use the rule for the sum of derivatives to differentiate the separate terms of f(x). d -(2 dx Step 3 Use the constant multiple for each term. d (2x²) = 2( dx dx d dx (2x) = 2. dx d II dx = 2( II d d (2x) = 2x (x) dx dx d + 2 x -x dx Step 4 Use the power rule to obtain the derivative of the individual terms. d (2x²) = 2(x²) dx + X x -(2x dx 2x
Transcribed Image Text:Find the derivative of the function. 2x³ + 2x² X f(x) Step 1 The function f(x) can be simplified to make the algebraic process of finding the derivative easier. f(x) = 2 f'(x): = Step 2 Use the rule for the sum of derivatives to differentiate the separate terms of f(x). d -(2 dx Step 3 Use the constant multiple for each term. d (2x²) = 2( dx dx d dx (2x) = 2. dx d II dx = 2( II d d (2x) = 2x (x) dx dx d + 2 x -x dx Step 4 Use the power rule to obtain the derivative of the individual terms. d (2x²) = 2(x²) dx + X x -(2x dx 2x
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