求3 4 曲線長度

((( 本即肖恩/// = - = = = > 1 13.4.9. 求曲線在指定範圍中的長度 (1) y=xi, x = 0, x = 1 (c0=1 (2) y = x3, x = 0, x=1 (3) y = e", x = 0, x = 1 (4) y = 1, 1 = -1, 1 = 1 y = , x=1 (Hint: (1) (2)互為反函數.) - ( - et te- x 2 1 C 1 9

求解第17題～🥺🥺 謝謝大家！

16. If f (x) = x + x + x, find f^(3) and 17. If g(x) = 3 + x +e", find g '(4). X

這題有同學說可以先微分之後再將數字帶進去，想請問一下為什麼可以先微分呢？

5. (12%)令(x) = 25 + 22 -3,已知(x) 為1-1,因此反函數-1(r)存在。 (a) (3%+3%) * f-1(-3.01) B (f-1) (3) • (b) (6%)寫下f(x)在x=-3的線性逼近,利用線性逼近估計f(-3.01)。 o X 0

算出了斜率，想請問斜角該怎麼計算？

設4(3-5)、B(-10, 8)、C(3,7) 為平面上三 點,求指、元的斜率和斜角。 13 me=-13 mo =-1 AB m. 紀存在, to take, tan 8=90° AL

求反函數 如果能寫過程就好了，感謝

= 26. f(x) = f'()-- = 27. f(x) = 19 - x?, 0 SXS 3 28. f(x) = x2/3, x>0 Y-X x20 +X- =

請問第53題的反函數為什麼長得一樣？

x - 1) 43. f(x) = x + 12 44. f(x) = x - 3 + + 2) + 4) f(0) = 3 (X-0 (。 c+2) = = = ses 29–34, nd simplify = = Finding an Inverse Function In Exercises 45-56, find the inverse function of f. See Example 7. 45. f(x) = 2x – 3 46. f(x) = 5 – 4x 47. f(x) = 2x + 1 48. f(x) = -6x – 4 49. f(x) = xs 50. f(x) = x3 日 1 2 2 51. f(x) X 52. f(x) = – 0 < < 54. f(x) = x2 – 4, x 2 2 55. f(x) = x2/3, x 20 56. f(x) = x3/5 1 f(x f(x)= = X X - +3 (x) 53. f(x) = 9 – x?, Osxs 3 f"W-14-X?, OSXE3 () = - = - X = - = Determining Whether a Function Is One-to-One In Exercises 57-62, use a graphing utility to graph the function. Then use the Horizontal Line Test to determine whether the function is one-to-one. If it is, find its inve

有人會求這題的反函數嗎

4 30. f(x) = x3 – || x > 0 X

請問這題的反函數應該怎麼求 我現在的想法是先取log但我不知道之後的步驟該怎麼寫

y=3* 3* $t

求這題的反函數有人會嗎

4 30. f(x) = x3 – || x > 0 X

求解orz

Supose we know that f(x)=x' +2x+1 has an inverse function f !, Then (f !)'(4)=_7 【中正數學】