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; Suppose that f(x) = 2x-4 + 5x-2. Evaluate each of the following: f' (2) = f'(-1) = %3D

; Suppose that f(x) = 2x-4 + 5x-2. Evaluate each of the following: f' (2) = f'(-1) = %3D

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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### Problem Statement: Given the function \( f(x) = 2x^{-4} + 5x^{-2} \). Evaluate each of the following derivatives at the specified points: 1. \( f'(2) = \) 2. \( f'(-1) = \) Please enter the results in the provided fields. This problem involves the calculation of the first derivative of the given function and subsequently evaluating it at the given points \( x = 2 \) and \( x = -1 \). ### Explanation of Graphs or Diagrams: There are no graphs or diagrams provided in this problem. The task is focused on deriving mathematical expressions and evaluating them at specific points. ### Steps to Solve: 1. **Find the First Derivative \( f'(x) \)** 2. **Evaluate \( f'(x) \) at \( x = 2 \)** 3. **Evaluate \( f'(x) \) at \( x = -1 \)** Make sure to simplify your final answers. Enter the evaluated derivatives into the corresponding fields.
Transcribed Image Text:### Problem Statement: Given the function \( f(x) = 2x^{-4} + 5x^{-2} \). Evaluate each of the following derivatives at the specified points: 1. \( f'(2) = \) 2. \( f'(-1) = \) Please enter the results in the provided fields. This problem involves the calculation of the first derivative of the given function and subsequently evaluating it at the given points \( x = 2 \) and \( x = -1 \). ### Explanation of Graphs or Diagrams: There are no graphs or diagrams provided in this problem. The task is focused on deriving mathematical expressions and evaluating them at specific points. ### Steps to Solve: 1. **Find the First Derivative \( f'(x) \)** 2. **Evaluate \( f'(x) \) at \( x = 2 \)** 3. **Evaluate \( f'(x) \) at \( x = -1 \)** Make sure to simplify your final answers. Enter the evaluated derivatives into the corresponding fields.
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