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If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x*f{x) O y' = x4f(x) + 4x³f (x) O y' = x3f (x) – 3x4f(x) O y' = x4f (x) + 4x³f(x) О у - х3r (x) + 3х4х) O y' = x4f(x) - 4x³f '(x) f(x) x8 xf '(x) - 8(x) x9 (b) O y' = xf '(x) + 7f(x) O y' = x8 xf(x) - 8f '(x) x7 y' = xf '(x) - 7f(x) y'= xf(x) + 8f '(x) x8 (c) (x) Or = f'(x)(6x7) + x6f{x)_ [f(x)]? O y' = (x)(6x7) + x?f '(x) [f(x)]? O y = (x)(7x$) – x²f "(x). [f(x)]2 f "(x)(7x6) – x?f{x) [f(x)]? y' Or' =f(x)(6x6) – x?f '(x) [f(x)]?

If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x*f{x) O y' = x4f(x) + 4x³f (x) O y' = x3f (x) – 3x4f(x) O y' = x4f (x) + 4x³f(x) О у - х3r (x) + 3х4х) O y' = x4f(x) - 4x³f '(x) f(x) x8 xf '(x) - 8(x) x9 (b) O y' = xf '(x) + 7f(x) O y' = x8 xf(x) - 8f '(x) x7 y' = xf '(x) - 7f(x) y'= xf(x) + 8f '(x) x8 (c) (x) Or = f'(x)(6x7) + x6f{x)_ [f(x)]? O y' = (x)(6x7) + x?f '(x) [f(x)]? O y = (x)(7x$) – x²f "(x). [f(x)]2 f "(x)(7x6) – x?f{x) [f(x)]? y' Or' =f(x)(6x6) – x?f '(x) [f(x)]?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x*f{x) O y' = x4f(x) + 4x³f (x) O y' = x3f (x) – 3x4f(x) O y' = x4f (x) + 4x³f(x) О у - х3r (x) + 3х4х) O y' = x4f(x) - 4x³f '(x) f(x) x8 xf '(x) - 8(x) x9 (b) O y' = xf '(x) + 7f(x) O y' = x8 xf(x) - 8f '(x) x7 y' = xf '(x) - 7f(x) y'= xf(x) + 8f '(x) x8 (c) (x) Or = f'(x)(6x7) + x6f{x)_ [f(x)]? O y' = (x)(6x7) + x?f '(x) [f(x)]? O y = (x)(7x$) – x²f "(x). [f(x)]2 f "(x)(7x6) – x?f{x) [f(x)]? y' Or' =f(x)(6x6) – x?f '(x) [f(x)]?
Transcribed Image Text:If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x*f{x) O y' = x4f(x) + 4x³f (x) O y' = x3f (x) – 3x4f(x) O y' = x4f (x) + 4x³f(x) О у - х3r (x) + 3х4х) O y' = x4f(x) - 4x³f '(x) f(x) x8 xf '(x) - 8(x) x9 (b) O y' = xf '(x) + 7f(x) O y' = x8 xf(x) - 8f '(x) x7 y' = xf '(x) - 7f(x) y'= xf(x) + 8f '(x) x8 (c) (x) Or = f'(x)(6x7) + x6f{x)_ [f(x)]? O y' = (x)(6x7) + x?f '(x) [f(x)]? O y = (x)(7x$) – x²f "(x). [f(x)]2 f "(x)(7x6) – x?f{x) [f(x)]? y' Or' =f(x)(6x6) – x?f '(x) [f(x)]?
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