3. y = 7Vx + 6 4. y = (1 – 6x)"s 5. y= x(x² + 1)\2 6. y = x(x² + 1)-/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Need help with problems 5 and 6 pls
EXERCISES 2.6
Fine
Derivatives of Rational Powers
23.
Find dy/dx in Exercises 1-6.
1. y = x/4
3. y = 7Vx + 6
5. y = x(x² + 1)'2
2. y = V2r
25.
4. y = (1 – 6x)3
%3D
6. y = x(x² + 1)¬/2.
Hic
In E
d'y
Find the first derivatives of the functions in Exercises 7-12.
8. r = Vo-
10. f(x) = V1 – Vr
12. h(0) = V1 + cos (20)
7. s = Vr?
27.
9. y = sin ((2t + 5)~23)
29.
11. g(x) = 2(2x¬V2 + 1)-3
%3D
31.
32.
Differentiating Implicitly
Use implicit differentiation to find dy/dx in Exercises 13-22.
Imp
13. xy + xy? = 6
14. 2ry + y² = x+ y
Assu
%3D
itly a
Transcribed Image Text:EXERCISES 2.6 Fine Derivatives of Rational Powers 23. Find dy/dx in Exercises 1-6. 1. y = x/4 3. y = 7Vx + 6 5. y = x(x² + 1)'2 2. y = V2r 25. 4. y = (1 – 6x)3 %3D 6. y = x(x² + 1)¬/2. Hic In E d'y Find the first derivatives of the functions in Exercises 7-12. 8. r = Vo- 10. f(x) = V1 – Vr 12. h(0) = V1 + cos (20) 7. s = Vr? 27. 9. y = sin ((2t + 5)~23) 29. 11. g(x) = 2(2x¬V2 + 1)-3 %3D 31. 32. Differentiating Implicitly Use implicit differentiation to find dy/dx in Exercises 13-22. Imp 13. xy + xy? = 6 14. 2ry + y² = x+ y Assu %3D itly a
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