這題有沒有可能只用反函數就可以解出來⋯ 為啥算不出答案，ㄚ。

Assignment (part I) (page 50) *2-8. Two forces are applied at the end of a screw eye in order to remove the post. Determine the angle 0 (0° ≤ 0 ≤ 90°) and the magnitude of force F so that the resultant force acting on the post is directed vertically upward and has a magnitude of 750 N. 30° 500 N 2025/2/25 CHIANG Yu-Chou 33

求解

告 f(x) 滿足 f'(x)= f(₁ sin x, .5 1 5+sin r’ 大 ∀x ∈ R,且 f(0) = 0,證明 - <f 12 201 L 早上估 小结 () VI 10

求解！謝謝！

Q 0-3. 若函數f(x) = x,則f'(x) 的定義域為 (1).(-1, ∞) (2).[-1,∞) (3)(0,0] (4).以上皆非

想問上面那題，為什麼區間是0、10？ 從哪裡得出來的

1-6-8 中間值及勘根定理 片 1 例題:【中間值定理】 給函數f(x) = x+x+1,證明必定存在一實數c,使得f(c)=100。 解: 因 f(x) = x+x+1為一個多項式,所以在[0,10]區間上連續 因為f(x) = x* + x+1在閉區間[0,10]上連續, 又(0)=1<100<1001 = f(10) 所以由中間值定理,必定存在一實數c,使得f (c)=100。 ↳s 例題:【勘根定理】 證明方程式x-2x²+x+1=0,在(-1,1)區間內至少有一個實根。 證:

想問b、c，感謝🙏

A sliding ladder A 3.9-m ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 3.6 m from the house, the base is moving at the rate of 1.5 m/s. a. How fast is the top of the ladder sliding down the wall then? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle between the ladder and the ground changing then? -3,6 m/s -5.355 m/s -1 rad/5* *

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

請問這題要怎麼算

已知函數 f滿足以下條件: f(2) = 9, f'(2) = -3, f(1) = 1, 若將函數 F 定義為 F(x) = f(x²), 則 F'(1) = 4 x 正確答案是:8.00 f' (1) = 4.

請問這題要怎麼算

已知函數 f滿足以下條件: f(2) = 9, f'(2) = -3, f(1) = 1, 若將函數 F 定義為 F(x) = f(x²), 則 F'(1) = 4 x 正確答案是:8.00 f' (1) = 4.

想請問這題的(b)怎麼解！

Question 3: If f(x)=x³+3x+1, evaluate (a) f'(2) and (b) (-¹)(15). Sele

請問這題要怎麼算～

1 89. Let f be a function such that f'(x): If 1 + x² 0₁5 2 LIFE AND Qurbliet 1 + x² dig(x) = f(2x + 1), what is g'(x)?sup inslissxs) =