Inflection points? Does f(x) = 2x ?10x +20x +x+1 have any inflection points? If so, identify them.
Solution Step 1 In this problem we have to find the inflection point of f(x) = 2x 10x + 20x + x + 14 3 First let us see the definition of inflection points. Inflection Point: An inflection point is a point on a curve at which the sign of the curvature (i.e., the concavity) changes. Inflection points may be stationary points, but are not local maxima or local minima. A necessary condition for x to be an inflection point is f (x) = 0 3 For example, In the curve y = x plotted below, the point x = 0is an inflection point . Step 2 5 4 3 Let f(x) = 2x 10x + 20x + x + 1 By the definition given in step 1, in order to find the inflection points, we have to differentiate the function twice and then equate it to zero that is f (x) = 0
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: points, inflection, identify, any. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 12RE from chapter: 4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 12RE from 4 chapter was answered, more than 316 students have viewed the full step-by-step answer. The answer to “Inflection points? Does f(x) = 2x ?10x +20x +x+1 have any inflection points? If so, identify them.” is broken down into a number of easy to follow steps, and 17 words.