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 vo 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 minim d. Find the area of cardboard needed.
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 vo 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 minim d. Find the area of cardboard needed.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Transcribed Image Text: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.
A
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