**Calculus Problem: Finding Inflection Points**Given the function $ f(x) = x^3 - 6x^2 - 15x + 50 $, the task is to find the inflection point(s).### Steps to Find Inflection Points**1. First and Second Derivatives:** To determine the points of inflection, we need to find the first and second derivatives of the function. **2. Identify where the Second Derivative Equals Zero:** Solve the equation $ f''(x) = 0 $ to find potential inflection points. **3. Confirm Inflection Points:** Verify that at these points, the second derivative changes sign, ensuring they are inflection points.Use this process to solve and understand how inflection points are derived from the function given.

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Answered: Let fr= xー 6x-15xt50 find the…

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Calculus

Let fr= xー 6x-15xt50 find the inflection point@)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.5: Transformation Of Functions

Problem 5SE: How can you determine whether a function is odd or even from the formula of the function?

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

**Calculus Problem: Finding Inflection Points**

Given the function $ f(x) = x^3 - 6x^2 - 15x + 50 $, the task is to find the inflection point(s).

### Steps to Find Inflection Points

**1. First and Second Derivatives:**
To determine the points of inflection, we need to find the first and second derivatives of the function.

**2. Identify where the Second Derivative Equals Zero:**
Solve the equation $ f''(x) = 0 $ to find potential inflection points.

**3. Confirm Inflection Points:**
Verify that at these points, the second derivative changes sign, ensuring they are inflection points.

Use this process to solve and understand how inflection points are derived from the function given.

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