dy Findby implicit differentiation. dx x*y - 8xy + 3xy? = 9 %3D Find an equation of the tangent line to the graph of the function at the given f(x) : = arctan x, (-1,-7) O The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the hen the bottom of the ladder is 3 m from the wall, it slides from the wall away f0.2 m/s. How long is the ladder? s) The length of a rectangle is increasing at a rate of 8 cm/s and its width is g at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast a of the rectangle increasing?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dy
Findby implicit differentiation.
dx
x*y - 8xy + 3xy? = 9
%3D
Find an equation of the tangent line to the graph of the function at the given
f(x) :
= arctan x, (-1,-7)
O The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the
hen the bottom of the ladder is 3 m from the wall, it slides from the wall
away
f0.2 m/s. How long is the ladder?
s) The length of a rectangle is increasing at a rate of 8 cm/s and its width is
g at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast
a of the rectangle increasing?
Transcribed Image Text:dy Findby implicit differentiation. dx x*y - 8xy + 3xy? = 9 %3D Find an equation of the tangent line to the graph of the function at the given f(x) : = arctan x, (-1,-7) O The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the hen the bottom of the ladder is 3 m from the wall, it slides from the wall away f0.2 m/s. How long is the ladder? s) The length of a rectangle is increasing at a rate of 8 cm/s and its width is g at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast a of the rectangle increasing?
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