a and b #17 11. Consider the curve x y. Use implicit differentiation to verifyd'yde0, it isdythatdxand then findse cases,3y212. Consider the curve x e.Use implicit differentiation to verifyd'ycientdythatdxe and then finds ofPractice Exercisesllyim-13-26. Implicit differentiation Carry out the following steps.dya. Use implicit differentiation to finddxb. Find the slope of the curve at the given point.spect13. x4 + y4 = 2; (1, – 1)e'; (2, In 2)14. x =16. y + 3x = 8; (1, V5Vx – 2Vy = 0; (4at15. y = 4x; (1, 2)17. sin y = 5x* – 5; (1, 7)18.TT0,20. tan xy = x + y; (019. cos y = X;1; (1021. xy = 7; (1, 7)22.y + 124. x2/3 + y2/3 = =23. Vx + Vy = 2: (1, 1)25. xVy + y = 10: (1,8) 26. (x + y)2/327-40. Implicit differentiation Use implicit different28. y = xe%3D27. sin x + sin y = y

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Description: a and b #17 11. Consider the curve x y. Use implicit differentiation to verifyd'yde0, it isdythatdxand then findse cases,3y212. Consider the curve x e.Use implicit differentiation to verifyd'ycientdythatdxe and then finds ofPractice Exercisesllyim-13

Given that siny=5x4-5. a. Differentiate both sides of the above equation with respect to x as…

Answered: a. Use implicit differentiation to find…

Math

Calculus

a. Use implicit differentiation to find dx dý b. Find the slope of the curve at the given point.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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Question

a and b #17

11. Consider the curve x y. Use implicit differentiation to verify
d'y
de
0, it is
dy
that
dx
and then find
se cases,
3y2
12. Consider the curve x e.Use implicit differentiation to verify
d'y
cient
dy
that
dx
e and then find
s of
Practice Exercises
lly
im-
13-26. Implicit differentiation Carry out the following steps.
dy
a. Use implicit differentiation to find
dx
b. Find the slope of the curve at the given point.
spect
13. x4 + y4 = 2; (1, – 1)
e'; (2, In 2)
14. x =
16. y + 3x = 8; (1, V5
Vx – 2Vy = 0; (4
at
15. y = 4x; (1, 2)
17. sin y = 5x* – 5; (1, 7)
18.
TT
0,
20. tan xy = x + y; (0
19. cos y = X;
1; (10
21. xy = 7; (1, 7)
22.
y + 1
24. x2/3 + y2/3 = =
23. Vx + Vy = 2: (1, 1)
25. xVy + y = 10: (1,8) 26. (x + y)2/3
27-40. Implicit differentiation Use implicit different
28. y = xe
%3D
27. sin x + sin y = y

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