Find f'(a). f(x) = 2x2 – 5x + 2 f'(a) =

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...
icon
Related questions
Question
The task is to find the derivative of the function \( f(x) = 2x^2 - 5x + 2 \) at a specific point \( a \).

Given:
\[ f(x) = 2x^2 - 5x + 2 \]

To find:
\[ f'(a) = \]

A blank box is provided for the answer, followed by a red cross, indicating an incorrect or incomplete attempt. 

**Solution Explanation:**
To find the derivative \( f'(x) \), apply the power rule:

1. Differentiate \( 2x^2 \) to get \( 4x \).
2. Differentiate \(-5x\) to get \(-5\).
3. The derivative of the constant \(2\) is \(0\).

Thus, the derivative is:
\[ f'(x) = 4x - 5 \]

To find \( f'(a) \), substitute \( a \) for \( x \) in the derivative:
\[ f'(a) = 4a - 5 \]
Transcribed Image Text:The task is to find the derivative of the function \( f(x) = 2x^2 - 5x + 2 \) at a specific point \( a \). Given: \[ f(x) = 2x^2 - 5x + 2 \] To find: \[ f'(a) = \] A blank box is provided for the answer, followed by a red cross, indicating an incorrect or incomplete attempt. **Solution Explanation:** To find the derivative \( f'(x) \), apply the power rule: 1. Differentiate \( 2x^2 \) to get \( 4x \). 2. Differentiate \(-5x\) to get \(-5\). 3. The derivative of the constant \(2\) is \(0\). Thus, the derivative is: \[ f'(x) = 4x - 5 \] To find \( f'(a) \), substitute \( a \) for \( x \) in the derivative: \[ f'(a) = 4a - 5 \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning