求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

Z (b) Use the acceleration curve from par (a) to estimate the 10 seconds. What are the units for jerk? 45) The lel defined ||||| V has a vertical tangent line at (0,0). and jerk at = 38, Let f(x) = V. x ( (a) If a 40. use Equation 2.1.5 to find s'a). (b) Show that f'(o) does not exist. (c) Show that y- (Recall the shape of the graph of f. See Figure 1.2.13.) 39. (a) If g(x) = x?, show that g'(0) does not exist. (b) Ifa * 0, find g'(a). (c) Show that y = x2 has a vertical tangent line at (0,0). c (d) Illustrate part (c) by graphing y - x2) if the sided (a) F | 40. Show that the function f(x) = |x - 6 is not differentiable at 6. Find a formula for and sketch its graph. (b) Where is the greatest integer function () = [x] not

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

請問a、b怎麼做 謝謝

(a) If g is a twice differentiable function and f(x) = xg(x?), find f" in terms of g, g', and g". () = If F(x) = f(xf(xf(x))), where f(1) = 2, f (2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6, find F'(1).

求解

y 10. 根據 f(x) = 2 - 的圖 X 1.1 1 0.9 2 when f 1一 形找一個 6,使得只 要 0 < x - 1| < 6, 「F(x) - 1| < 0.1 就會成 立。 十一 2 X 1

請問這題該如何計算，謝謝

151 3.4.5. F(x) = f(f(xf(x))), l. f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, f'(3) = 6, * F(1). - J

想請問這兩題解法 謝謝

2.pdf 1 頁,共2頁 自動縮放 2. 某個研究單位比較兩種檢驗膽固醇的方法得到如下表的結果,請問這兩種檢驗方法是否 有差異?(此為配對樣本)(x=0.05) Method A Method B 1 1.46 1.42 2 2.22 2.38 3 2.84 2.67 4 1.97 1.80 5 1.13 1.09 6 2.35 2.25 3. 有A、B兩種冷氣機,A抽12台 B抽 10 台得到樣本變藝術如下實驗得到以下之數據: 樣本數 變異數S A 12 14.5 B 10 10.8 試在顯著水準 0.05 下,比較A、B兩種冷氣機之耗電量變異數是否相同。 LL 臣氏正是JAL

求解

UNCLE 華夏科技大學五數學(四) SMA4-31092B005 三。 31092B005 才 不善 截止期限與事基建信箱 2021年06月18日07:00 31 寄到:ckmathole grail.com 19) 求焦點為F(03)且準線為ly+3=0的地物線方程式。 (20) 求焦點為F(-1.3)且準線為ly+7=0的拋物線方程式。 AE 1 50 a agr 21) 求兩焦點為F(-3.0), F(3.0)且長軸長2a=10的椭圆方程式。 22) 求兩 焦點為F(0,-3), F (0.3)且長軸長2a = 10的椭圆方程式。 yi的焦點與漸近線。 24) 求雙曲線 -1 的焦點。 23)求橢圓 25 16 9 9

求解 第二題 謝謝🙏

自1-9題若有局部極值,則求之 1. f(x, y) = x2 + 2xy + 343 2. f(x, y) = x3 + 3xy - 43

第22求解 謝謝 答案： 22.1/4sin(81)

19. y = sin(TTT) , Y = U- 自20-25 題調換積分順序後,(重積分的上,下限也改變)求值。 20. 23. / edrdy So ' L V1+z2dedy 122. z 121. . I cos(2>)dady (24. Joha Love ( sin(yº)dydz y cos(x2)dady 2 25. =dydı F/16+y?