Let f (z) = 2 z² +6 z +5. We will use the definition of derivative to find the deivativ (1) What is the definition of derivative of ƒ (z)? O f' (x) = lim h→0 f(z+2 h)–f(z+h) 2 h O f' (z) = lim f(z+h)-f(z-h) h0 O f' (z) = „lim f(z+h)-f(z) h→0 O f' (2) = f(z+h)-f(z) h (1i) Which one is the corect statement (the next step to find f' (z) by definition)? 2 (z+h)² +6(z+h)+5-(2 z² +6 z+5) f' (z) = lim h→0 h 2 (z+2 h)²+6(z+2 h)+5-(2 2²+6 z+5) O f' (z) = lim 2 z² +6 z+5+ h -(2 2² +6 z+5) O f' (z) = _lim h→0 2 (z+h)² +6(z+h)+5–(2 z²+6 z+5) O g' (z) h

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Let f (x) = 2 a2 + 6 x +5. We will use the definition of derivative to find the deivativ
(1) What is the definition of derivative of f (æ)?
O f' (2) = lim
f(x+2 h)– f(x+h)
2 h
O f' (2) = lim
f(z+h)-f(x-h)
h0
h
f(x+h)-f(x)
O f' (x) = lim
h
O f' (æ) =
f(x+h)-f(x)
h
(ii) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 x+5)
f' (x) = lim
h→0
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (2) = lim
h
2 a2 +6 z+5+ h - (2 a² +6 x+5)
O f' (z) = lim
h→0
2 (x+h)2 +6(x+h)+5-(2 x² +6 ¤+5
O f' (2)
h
Transcribed Image Text:Let f (x) = 2 a2 + 6 x +5. We will use the definition of derivative to find the deivativ (1) What is the definition of derivative of f (æ)? O f' (2) = lim f(x+2 h)– f(x+h) 2 h O f' (2) = lim f(z+h)-f(x-h) h0 h f(x+h)-f(x) O f' (x) = lim h O f' (æ) = f(x+h)-f(x) h (ii) Which one is the correct statement (the next step to find f' (æ) by definition)? 2 (z+h)2 +6(x+h)+5-(2 a² +6 x+5) f' (x) = lim h→0 h 2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5 O f' (2) = lim h 2 a2 +6 z+5+ h - (2 a² +6 x+5) O f' (z) = lim h→0 2 (x+h)2 +6(x+h)+5-(2 x² +6 ¤+5 O f' (2) h
Let f (æ) = 2 a2 + 6 x + 5 . We will use the definition of derivative to find the deivative of f
1) What is the definition of derivative of f (x)?
O f' (x) = lim
f(x+2 h)– f(x+h)
2 h
O f' (x) = lim
f(x+h)-f(x-h)
h
O f' (2) = lim
f(r+h)-f(x)
h→0
h
O f' (x) =
f(x+h)-f(x)
h
(i) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 æ+5)
f' (x) = lim
h→0
%3D
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (x) = lim
h
2 a2 +6 x+5+ h -(2 22 +6 x+5)
O f' (z) = lim
h
2 (x+h)2 +6(x+h)+5-(2 x² +6 x+5)
O f' (2) =
h
Transcribed Image Text:Let f (æ) = 2 a2 + 6 x + 5 . We will use the definition of derivative to find the deivative of f 1) What is the definition of derivative of f (x)? O f' (x) = lim f(x+2 h)– f(x+h) 2 h O f' (x) = lim f(x+h)-f(x-h) h O f' (2) = lim f(r+h)-f(x) h→0 h O f' (x) = f(x+h)-f(x) h (i) Which one is the correct statement (the next step to find f' (æ) by definition)? 2 (z+h)2 +6(x+h)+5-(2 a² +6 æ+5) f' (x) = lim h→0 %3D h 2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5 O f' (x) = lim h 2 a2 +6 x+5+ h -(2 22 +6 x+5) O f' (z) = lim h 2 (x+h)2 +6(x+h)+5-(2 x² +6 x+5) O f' (2) = h
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