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f'(x) = 6Vx ; f(1) = 7,

f'(x) = 6Vx ; f(1) = 7,

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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Find F(x)
The image contains the mathematical notation for a function's derivative and an initial condition: \( f'(x) = 6\sqrt{x} \); \( f(1) = 7 \). This expression indicates that the derivative of the function \( f(x) \), denoted as \( f'(x) \), is equal to \( 6\sqrt{x} \). Additionally, there is an initial condition given: when \( x = 1 \), the function \( f(x) \) has a value of 7. This information is often used to solve differential equations or to find the original function \( f(x) \).
Transcribed Image Text:The image contains the mathematical notation for a function's derivative and an initial condition: \( f'(x) = 6\sqrt{x} \); \( f(1) = 7 \). This expression indicates that the derivative of the function \( f(x) \), denoted as \( f'(x) \), is equal to \( 6\sqrt{x} \). Additionally, there is an initial condition given: when \( x = 1 \), the function \( f(x) \) has a value of 7. This information is often used to solve differential equations or to find the original function \( f(x) \).
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