第23題 求過程感謝（綠筆為解答

e given 21. y = X Xo 2x + 3² xo = -1 = 22. y = - x + 7 - Xo = 0 = 2 y=-x+ 5 - 2x 23 y = (3Vx + x)(2 - x?); xo = 1 - 3.18 6x=12x74x+ton In Exercises 24 through 27, find all points on the graph of the given function where the tangent line is horizonta

微積分的連鎖律，求導數

125. y = 12 - 2 t2 t - 2

微積分-求Dxy

1 tk xul + x501x y = .

想請問要怎麼算

Problem 42. 一張長方形,900平方公分大的海報,若左右與下方有2.5公分的留白,上方有5公 分的留白,請問可以印刷圖片的區域最大可以到多大?

請問這兩題怎麼解，謝謝🙏🙏

90, Let f be a function such that f(3) = -1 and a = f'(x) = V x2 + 3. If g(x) = xºf X = X 3 = x - 2) what is g'(3)?

求21題微分

x2 + 4x + 3 21. y √x X

急！求解😭😭我想睡覺了😭😭😭救命

In Exercises 43 through 50, find an equation of the line that is tangent to the graph of f for the given value of x. 3 49. f(x) - - X ; x= -1 x + 2

急！想請問這題🥲謝謝

16 lim (VX/X -X) att lim √x+X-X ✓X+X -X √x X+X X XtXtyr att X-XtX 2. JX EX+X X x lim L X+ XtXS arte X Z Vx+x) X =) lim. I (RIA)

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