Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy dx (9 + yeY) = d (9x + eX) (yey +endy dx ((1)e(1) + e(1)) dy dy dx = dy dx = 9+ ex = 9 + e(1) = 9+ e = What is the slope of the tangent line to the curve 9+ yey=9x + ex at the point (1, 1) for the equation 9 + yey = 9x + ex? dy dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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dy
Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for
dx
(9+ yer)
=
((1)e(¹) + e(¹)) dx =
dy
=
dy
dx
dx
(yey + ey) dy = 9 + ex
dx
dy
dx
d
dx
(9x + ex)
= 9+ e(1)
=
= 9+ e
What is the slope of the tangent line to the curve 9+ yey = 9x + ex at the point (1, 1) for the equation 9 + yey = 9x + ex?
dy
dx
Transcribed Image Text:dy Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dx (9+ yer) = ((1)e(¹) + e(¹)) dx = dy = dy dx dx (yey + ey) dy = 9 + ex dx dy dx d dx (9x + ex) = 9+ e(1) = = 9+ e What is the slope of the tangent line to the curve 9+ yey = 9x + ex at the point (1, 1) for the equation 9 + yey = 9x + ex? dy dx
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