1 f'(x) = 5x +1 dx

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(0)=3, then what value is f(4)?

 

The image shows a mathematical expression for the derivative of a function, represented as:

\[ f'(x) = 5x^{-\frac{1}{2}} + 1 \, dx \]

This expression represents the derivative of a function \( f \) with respect to \( x \). The term \( 5x^{-\frac{1}{2}} \) indicates that the variable \( x \) is raised to the power of \(-\frac{1}{2}\), and is multiplied by 5. The expression also includes an additional constant differential, \( 1 \, dx \). This form is frequently encountered in calculus when working with integrals and derivatives.
Transcribed Image Text:The image shows a mathematical expression for the derivative of a function, represented as: \[ f'(x) = 5x^{-\frac{1}{2}} + 1 \, dx \] This expression represents the derivative of a function \( f \) with respect to \( x \). The term \( 5x^{-\frac{1}{2}} \) indicates that the variable \( x \) is raised to the power of \(-\frac{1}{2}\), and is multiplied by 5. The expression also includes an additional constant differential, \( 1 \, dx \). This form is frequently encountered in calculus when working with integrals and derivatives.
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