有沒有大神會解這題微積分QQ 我卡住了 謝謝🙏

47. 片 √x 1 + √x dx nim\gm bidw to 916 Hint: Let u = 1 + √x. 9012

想問一下這兩題的微分怎麼求，謝謝🙏

√x²+4 N

求解！謝謝！

Q 0-1. tan 已知合成函數: emm(1/x) = (fogoh)(x), 若g(x) = tan x 則f(x)= (1)e(2)x² (3)x² (4) 以上皆非。

微積分 我想問第（3）題

1. 下列各題:求f(x)在 I 上的所有奇異點,並決定f(x)遞增、遞減的範圍。最後, 作f(x) 值的走勢圖,指出產生相對極值以及絕對極值的地方。 (1) f(x)=x²-3x+6, I = [-2, 2] (2) f(x)=x²-6x²+9x-6,I= [0, 5] (3) f(x)=x²e-*,I=R (4) f(x)=-x°+9x²-15x+10,I= [0, 6]

請問第11題怎麼算

In Exercises 5 through 18, sketch the given region RAS and then find its area. 5. R is the region bounded by the lines y = x, y = -x, and x = 1. 6. R is the region bounded by the curves y = x², y = -x², and the line x = 1. 7. R is the region bounded by the x axis and the -x² + 4x - 3. curve y = 8. R is the region bounded by the curves y = e, .ar y = ex, and the line x = In 2. 9. R is the region bounded by the curve y = x² - 2x and the x axis. [Hint: Note that the region is below the x axis.] .85 10. R is the region bounded by the curve y the lines y = x and y = = X 8 1 11 and 11. R is the region bounded by the curves y = x² - 2x and y -x² -x² + 4.

第二小題、第3小題求過程🥺 答案：-42、2

3₁ % f(1) = -2₁ f^(1)=3, 9(₁) = 2; g'(1) = -1 731) Jak # 求下列問題 + x ( faj 9(x)} | X= = dx (2) / (f² (4x-3) +(3ײ-5)) |x-1 32 +₂ ( f (57) + = (2-1)) |x-1= in d

只需要告訴我第二個怎麼微分就行-(2x)^1/2的部分 需要微分兩次～ 謝謝🙏

BOT12 45. y = 2 3x √2x + √2x - 1 6√x

求解第24題

t (a), explain wh 2+x-6 x-2 lim (x + 3) imit, if it exists. 12. lim x² - 4x x-1 x²-3x - 4 14. lim 2x² + 3x + 1 2 x-1 X² 2x - 3 16. lim 18. lim h→0 20. lim X→-1 22. lim u-2 24. lim t-0 (2 + h) - 8 h 3x - 4 28. lim h→0 x² + 2x + 1 .4. - 1 26. lim x--4 (1 t 4u + 1 u - 2 3 t² + t x²+9-5 x + 4 1 (x + h)² h 1 X Illustrate tion of th 33. If 4x 34. If 2x - 35. Prove 36. Prove 37-42= explain 37. lim 39. 41. 43

請問第41題這種類型的題目要怎麼解🙏🙏

41-44 Use implicit differentiation to find az/ax and az/ay. .2 41. x² + 2y² + 3z² = 1 (42. x² - y² + z² – 2z = 4 (43) e² = xyz 44.) yz + x ln y = z²

求此題微分🙏

412 44. f(t) = V2t2 + 2t - 1