"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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:"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.
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