請問這題怎麼算

1. What number exceeds its square by the largest amount? [Hint: Find the number x that maximizes trigin f(x) = x = x².] bas auoivdo líssi jon - sidan Enter Chaigh ot by

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

想請教這一題微積分，謝謝！

2. (8%) Consider a real numbers and suppose that lim x→0√√x+s4-s² find s (there are two possible answers). = 3,

請教這題a,b小題 不知道怎麼列式子

4.21. Suppose that P{X=a}=p, P{X=b} = 1 - p (a) Show that X-b is a Bernoulli random variable. (b) Find Var(X).

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.

怎麼化簡這個式子？

(c) 1 (x+h)² ht 1 2 X

請問這題的過程怎麼計算～ 題目是要求二次導函數及最大最小值 （照片黑色部分是題目 藍色部分是解答）

No. Date (37₁flx) = (x-2)³ x² fix)= 241X22) 74 (a-b) ² = a ²³-3a²b+3ab²-6³ svitalar maximum at (-4, -13,5) quitalay Test fails for x=2₁

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

想請問紅色的地方要怎麼變藍色的

EXAMPLE 3 Solution We differentiate the equation implicitly. (AS) ² = x² + sin.xy d VIR SY d (²) - (x²)+(sin xy) = dx dx Find dy/dx if y² = x² + sinxy (Figure 3.31). d dx dy dx 2y = d 2x + (cos xy) (xy) dx ansa to along or see anuar Differentiate both sides with respect to x... ... treating y as a function of x and using the Chain Rule.