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Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What is the definition of derivative of f (2) ? O f' (2) = f(=+h)-f(2) O f' (z) = lim f(x+2 h)–f(x+h) h-0 2 h O f' (x) = lim f(x+h)-f(x-h) h O f' (x) = lim f(x+h)-f(x) h-0 (i) Which one is the correct statement (the next step to find f' (z) by definition)? 13 13 f' (2) = _lim +h Vzt3 h 13 Væ+h+3 h 13 Va+3 f' (x) = lim h→0 13 I+h+3 h 13 I+3 g' (z) = 13 13 Vath h O f' (z) = lim VI+3 h→0

Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What is the definition of derivative of f (2) ? O f' (2) = f(=+h)-f(2) O f' (z) = lim f(x+2 h)–f(x+h) h-0 2 h O f' (x) = lim f(x+h)-f(x-h) h O f' (x) = lim f(x+h)-f(x) h-0 (i) Which one is the correct statement (the next step to find f' (z) by definition)? 13 13 f' (2) = _lim +h Vzt3 h 13 Væ+h+3 h 13 Va+3 f' (x) = lim h→0 13 I+h+3 h 13 I+3 g' (z) = 13 13 Vath h O f' (z) = lim VI+3 h→0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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13 Let f (2) = Va+3 We will use the definition of derivative to find the derivative of f (x). (1) What is the definition of derivative of f (x) ? O f' (x) = f(x+h)–f(x) h O f' (æ) = lim f(x+2 h)– f(x+h) 2 h f(x+h)-f(x-h) O f' (x) = ,lim h0 h f(x+h)–f(x) O f' (2) = lim h0 h (ii) Which one is the correct statement (the next step to find f' (æ) by definition)? 13 +h Va+3 h 13 Va+3 f' (2) = = lim h0 13 13 Vath+3 h→0 Væ+3 f' (2) = lim %3D 13 13 Vzth+3 VE+3 f' (z) = 13 13 Vzth O f' (z) = lim h→0 Va+3 h
Transcribed Image Text:13 Let f (2) = Va+3 We will use the definition of derivative to find the derivative of f (x). (1) What is the definition of derivative of f (x) ? O f' (x) = f(x+h)–f(x) h O f' (æ) = lim f(x+2 h)– f(x+h) 2 h f(x+h)-f(x-h) O f' (x) = ,lim h0 h f(x+h)–f(x) O f' (2) = lim h0 h (ii) Which one is the correct statement (the next step to find f' (æ) by definition)? 13 +h Va+3 h 13 Va+3 f' (2) = = lim h0 13 13 Vath+3 h→0 Væ+3 f' (2) = lim %3D 13 13 Vzth+3 VE+3 f' (z) = 13 13 Vzth O f' (z) = lim h→0 Va+3 h
(ii) Which one is the correct statement (the next step to find f' (¤) by definition)? (Va+3-Va+h+3) (Va+3)(V+h+3) f' (2) = lim h 13(Vz+3+h-Ve+3) (Va+3)(VI+h+3) f' (x) = lim h 13(Va+3-Vz+3+h) (VI+H+3) f' (2) = lim h→0 h 13(Vz+3-VE+h+3) (Ve+3)(v¤+h+3) f' (x) = lim h→0 h (iv) Which one is the correct statement (the next step to find f' (x) by definition)? 13(Va+3 – Va +h+3) Va+3+ ve +h+3 h→0 h(Va+3)(+h+3) O f' (x) = lim Væ +3+ Va +h+3 13(Va +h+3 – Va +3) Va + h+3+ væ+3 h→0 h(Va+h+3)(væ+3) O f' (2) = lim Va +h+3+V+ 3 13(Va+3 – Ve +h+3) O f' (2) = lim h→0 h(va+3)(VE +h+3) (Vz+3+ Vr + h+3) 13(Va +3 – Ve +h+3) Væ - 3+ vz – h – 3 h-0 h(Vz+3)(/+h+3) O f' (2) = lim I- 3+ Va – h – 3
Transcribed Image Text:(ii) Which one is the correct statement (the next step to find f' (¤) by definition)? (Va+3-Va+h+3) (Va+3)(V+h+3) f' (2) = lim h 13(Vz+3+h-Ve+3) (Va+3)(VI+h+3) f' (x) = lim h 13(Va+3-Vz+3+h) (VI+H+3) f' (2) = lim h→0 h 13(Vz+3-VE+h+3) (Ve+3)(v¤+h+3) f' (x) = lim h→0 h (iv) Which one is the correct statement (the next step to find f' (x) by definition)? 13(Va+3 – Va +h+3) Va+3+ ve +h+3 h→0 h(Va+3)(+h+3) O f' (x) = lim Væ +3+ Va +h+3 13(Va +h+3 – Va +3) Va + h+3+ væ+3 h→0 h(Va+h+3)(væ+3) O f' (2) = lim Va +h+3+V+ 3 13(Va+3 – Ve +h+3) O f' (2) = lim h→0 h(va+3)(VE +h+3) (Vz+3+ Vr + h+3) 13(Va +3 – Ve +h+3) Væ - 3+ vz – h – 3 h-0 h(Vz+3)(/+h+3) O f' (2) = lim I- 3+ Va – h – 3
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