"The Differentiation Rule" Find the derivatives of the given functions using the rules of differentiation. 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. a. Show that y = 30 x² b. Show that the area of cardboard to make the box is given by 180 A = 4x² + X c. Use differentiation to find the value of x for which A is a minimum. d. Find the area of cardboard needed.

"The Differentiation Rule" Find the derivatives of the given functions using the rules of differentiation. 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. a. Show that y = 30 x² b. Show that the area of cardboard to make the box is given by 180 A = 4x² + X c. Use differentiation to find the value of x for which A is a minimum. d. Find the area of cardboard needed.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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