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

請問第3題該如何解?

(a) f is continuous at a. (b) The derivative of f at x; that is, f'(x). X 3. Use the definition to find f'(x), if f(x ) = - X – 1

一次微分的部分已經代公式算完了 但是二次微分用代公式的方式算出來是錯了 可以請板上ㄉ大家幫我看一下哪裡微錯了嗎🙏

Find the first and second derivatives of the following function: y(t) = tan 9t (= y' (t) = 9(sec(9t))^2 g= y"(t) = 18[[sec(9t)]^2][tan(9t)]

計算給定函數的導數，並找到與指定值的圖形相切的直線的方程。第21題不會算。

= = - = - In Exercises 13 through 24, compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value x = c. 13. f(x) = 2; c = 13 x 14. f(x) = 3; c = -4 15. f(x) = 7 - 2x; c = 5 16. f(x) = 3x; c = 1 17. f(x) = x; c = 1 18. f(x) = 2 - 3x?; c = 1 -2 19. f(x) = 3 ;c = -1 20. f(x) 3 2 2XUD 21. f(x) = 2Vx; c = 4 22. f(x) 1 = 2. = - = x = pic ;

請問第五題怎麼算？ 謝謝

(xp y (x2, y2) Finding the Slope of a Tangent Line Exercises 3–5, find the slope of the tangent line the graph of the function at the given point. 4. f(x) = 2x2 – 3, (2, 5) 3. f(x) = 3 – 5x, (-1,8) 5. h(t) = 12 + 4t, (1,5) Finding the Derivative by the Limit Process I Exercises 6–10, find the derivative of the function by the li process.

作業寫不出來😭微積分

if (x, y) = (0,0) ( 20 points ) Let f(x, y) = x²y² x4 + y + 0, if (x,y) = (0,0) (a) Does lim f(x,y) exist ? Give reasons. (x,y) → (0,0) (b ) Find the partial derivatives fx(0,0) and fy(0,0).

想詢問第一題要怎麼算）大一微積分

ch 1. Find the derivative of each of the following functions: f(x) = (XS-20X+80) C) h(x) = lnQ+X+) al b) g(x)= ex -3x2 d) k (x) = 63 414

請問這題要怎麼解

3-(a). State the relationships among derivative, 全

求計算

3-(b). By definition of derivative, find /(x)放7(x) = 一 用導數定義計算 /(x)