Find the critical points of the following function f(x) = - 3x +5x on [0,4]

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 the Critical Points of the Function**

Given the function \( f(x) = -3\sqrt{x} + 5x \) on the interval \([0, 4]\), determine the critical points.

**Select the correct answer below, and if necessary, fill in the answer box to complete your choice:**

- **A.** The critical point(s) is/are at \( x = \) [___]. (Use a comma to separate answers as needed.)

- **B.** There are no critical points on the given interval.
Transcribed Image Text:**Find the Critical Points of the Function** Given the function \( f(x) = -3\sqrt{x} + 5x \) on the interval \([0, 4]\), determine the critical points. **Select the correct answer below, and if necessary, fill in the answer box to complete your choice:** - **A.** The critical point(s) is/are at \( x = \) [___]. (Use a comma to separate answers as needed.) - **B.** There are no critical points on the given interval.
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