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10 Figure 5 25. Write the equation of the tangent line to the graph of y = ln(x² + e) at x = 0.

10 Figure 5 25. Write the equation of the tangent line to the graph of y = ln(x² + e) at x = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Q25,33&Q35 needed Needed to be solved correctly in 1 hour and get the thumbs up please show me neat and clean work for it by hand solution needed Kindly do all in the order to get positive feedback
EXERCISES 4.5 Differentiate the following functions. 1. y 3 ln x + In 2 x² In x 2 5. ye ln x In x Vx 9. y = ln x² 3. y= 7. y= In (=) 13. yIn(3x4x²) 1 In x 11. y In( 15. y = 17. y = In x In 2x 19. y (x³ + 1) In(x³ + 1) Find the second derivatives. d² 21. (1² In 1) dr² 2. y = 4. y 8. y= In x In 3 3 X 6. y = el +Inx In x 20. y = 1 2 + 3 ln x 10. y = In √x In(-1/2) ln(e +ex) 12. y In 14. y 16. y In x ln 2x 18. y = (In x)2 In(x² + 1) x²+1 d² 22.2ln(In 1) 23. The graph of f(x) = (In x)/√x is shown in Fig. 4. Find the coordinates of the maximum point. 1 4 Y 25 Figure 4 24. The graph of f(x) = x/(lnx + x) is shown in Fig. 5. Find the coordinates of the minimum point. x 10 Figure 5 25. Write the equation of the tangent line to the graph of ln(x² + e) at x = 0. y 26. The function f(x) = (In x + 1)/x has a relative extreme point for x > 0. Find the coordinates of the point. Is it a relative maximum point?
Transcribed Image Text:EXERCISES 4.5 Differentiate the following functions. 1. y 3 ln x + In 2 x² In x 2 5. ye ln x In x Vx 9. y = ln x² 3. y= 7. y= In (=) 13. yIn(3x4x²) 1 In x 11. y In( 15. y = 17. y = In x In 2x 19. y (x³ + 1) In(x³ + 1) Find the second derivatives. d² 21. (1² In 1) dr² 2. y = 4. y 8. y= In x In 3 3 X 6. y = el +Inx In x 20. y = 1 2 + 3 ln x 10. y = In √x In(-1/2) ln(e +ex) 12. y In 14. y 16. y In x ln 2x 18. y = (In x)2 In(x² + 1) x²+1 d² 22.2ln(In 1) 23. The graph of f(x) = (In x)/√x is shown in Fig. 4. Find the coordinates of the maximum point. 1 4 Y 25 Figure 4 24. The graph of f(x) = x/(lnx + x) is shown in Fig. 5. Find the coordinates of the minimum point. x 10 Figure 5 25. Write the equation of the tangent line to the graph of ln(x² + e) at x = 0. y 26. The function f(x) = (In x + 1)/x has a relative extreme point for x > 0. Find the coordinates of the point. Is it a relative maximum point?
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