i need the answers for the circled quistions please 6:29 AM Thu 14 Oct36%< 88mat113_Chapter2 -...00x mat113_Chapt... O xUntitled (6)Untitled (7)X PHY103Lab_Simpl...X PHY103-ForceTabl...In exercises 1–24, differentiate each function.omD f(x) = x²e*2. F(x) = e2* cos 4.xan-ain3. f(t) =t +2'(4. )f (t) = 14ph5. f(x)= 2e4x+16. f(x) = (1/e)*ng7. h(x) = (1/3)*²8. )h(x) = 4-x²an9. f(u) — еu?+4и10. f(u) = 3etan urer.e4w11. ƒ(w) =entW12, f(w) =e6wcal13. f(x) — In 2х14. f(x) = In /8xnd15.) f (t) = ln (t³ + 3t)16. (t) = t° In t%3Dge17. g(x) = In (cos x)18. g(x) = cos x In(x2 + 1)ns.to19. (a) f (x) = sin (In x?)(b) g(t) = In (sint²)VIn x(20. (a) f(x)In Vi1/4(b) g(t) =tare21. (a) h(x)= e* In x(b) f(x) = elnxpeset22. (а) h(х) — 2°(b) f (x) =2x 6:29 AM Thu 14 Oct36%mat113_Chapter2 -...00x mat113_Chapt... O xUntitled (6)Untitled (7)X PHY103Lab_Simpl...X PHY103-ForceTabl...182CHAPTER 2Differentiation23, (a) ƒ (x)= In (sin x)(b) f(t) == In (sec t + tan t)24. (a) f (x)= e2*x³(b) f(w) = Ve2w + w³•.• •In exercises 25–28, find an equation of the tangent line toy = f(x) at x = 1.25. f(x) = 3er?26. f(x) =ZreE27. f(x)= x² In x28. f(x) = 2 In x3In exercises 29 and 30, find all values of x for which the tangentline to y = f (x) is horizontal.29. la) -2rf (x) = xe(b) f(x)= xe-3x30. (а) f (x) — х?е-2х(b) f(x) = x²e-3x... ..In exercises 31–34, the value of an investment at time t is givenby v(t). Find the instantaneous percentage rate of change.31. v(t) = 100 3'32. v(t) = 100 4'33. v(t) = 40 e0.4134. v(t) =60 е -0.2г•..

Since you have posted multiple questions I can do first three subparts as per our company guidelines…

Answered: In exercises 1–24, differentiate each…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 22E

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In exercises 1–24, differentiate each function. D f(x) = x*e* (2. F(x)= e2* cos 4.x 3. f(t) =t +2' 4. )f (t) = t43t

In exercises 1–24, differentiate each function. D f(x) = xe (2. F(x)= e2* cos 4.x 3. f(t) =t +2' 4. )f (t) = t43t