3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of...

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3.1 Definition of the Derivative UCHS AP Calculus – Davis

Transcript of 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of...

Page 1: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

3.1 Definition of the Derivative

UCHS AP Calculus – Davis

Page 2: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 3: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 4: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 5: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 6: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 7: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 8: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 9: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 10: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 11: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 12: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 13: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 14: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 15: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis

Page 16: 3.1 Definition of the Derivativeuchsdavis.weebly.com/uploads/3/1/6/3/31636201/apc_3.1_ppt.pdf · of a function f has slope [Figure 1 Af f (x) — (x, f (x)) on the graph a Ax where

UCHS AP Calculus - Davis


DHS Counselling, MP Links... · obc/x/f ur/x/f obc/x/f st/x/f sc/x/f st/x/f obc/x/f obc/x/f obc/x/f obc/x/f ur/x/f obc/x/f ... me-enal awasthi jyoti patel anita pawar kiran pawar

DHS Counselling, MP Links... · obc/x/f ur/x/f obc/x/f st/x/f sc/x/f st/x/f obc/x/f obc/x/f obc/x/f obc/x/f ur/x/f obc/x/f ... me-enal awasthi jyoti patel anita pawar kiran pawar

Replacing f(x) with k f(x) and f(k x) Adapted from Walch Education.

Replacing f(x) with k f(x) and f(k x) Adapted from Walch Education.

ECONOMICS 1. f X S Y f Y f M X

ECONOMICS 1. f X S Y f Y f M X

Link full download: …€¦ · 13. f(x) = 4 = (x + 16)1/4 (0) = 2 x 16 f'(x) = 1 (x + 16)-3/4 f'(0) = 1 4 32 3 3 f"(x) = - (x + 16)-7/4 f"(0) = - 2048 16 1 3 p x (x) = 2 + x - 2

Link full download: …€¦ · 13. f(x) = 4 = (x + 16)1/4 (0) = 2 x 16 f'(x) = 1 (x + 16)-3/4 f'(0) = 1 4 32 3 3 f"(x) = - (x + 16)-7/4 f"(0) = - 2048 16 1 3 p x (x) = 2 + x - 2

The derivative of f at x is given by f’(x) = lim f(x + ∆x) – f(x) ∆x -> 0 ∆x provided the limit exists. For all x for which this limit exists, f’ is a.

The derivative of f at x is given by f’(x) = lim f(x + ∆x) – f(x) ∆x -> 0 ∆x provided the limit exists. For all x for which this limit exists, f’ is a.

lawhonmath.weebly.com · Web view1. f x =4x-1, g x = 6+7x 2. f x =5x+2, g x = x 2 -14x . 3. f x = x 2 -2x+1, g x =8-3 x 2 4. f x = x 2 +3, g x = 5+ x 2 . Compute f -1 (x) of the following

lawhonmath.weebly.com · Web view1. f x =4x-1, g x = 6+7x 2. f x =5x+2, g x = x 2 -14x . 3. f x = x 2 -2x+1, g x =8-3 x 2 4. f x = x 2 +3, g x = 5+ x 2 . Compute f -1 (x) of the following

Introduction f x xG f x - Brandeis University

Introduction f x xG f x - Brandeis University

Differential Equations€¦ · 9.5.2 (Homogenous differential equations) x y F 1 (x, y) = y2 + 2xy, F 2 (x, y) = 2x – 3y, F 3 (x, y) = cos y x 4, F (x, y) = sin x + cos y x y x

Differential Equations€¦ · 9.5.2 (Homogenous differential equations) x y F 1 (x, y) = y2 + 2xy, F 2 (x, y) = 2x – 3y, F 3 (x, y) = cos y x 4, F (x, y) = sin x + cos y x y x

Derivatives of Trig Functions Intro 081 - Chipola College · 2017-07-13 · Derivatives of Trig Functions IF: THEN: F(x) = sin x F'(x) = cos x F(x) = cos x F'(x) = - sin x F(x) =

Derivatives of Trig Functions Intro 081 - Chipola College · 2017-07-13 · Derivatives of Trig Functions IF: THEN: F(x) = sin x F'(x) = cos x F(x) = cos x F'(x) = - sin x F(x) =

Replacing f ( x ) with f ( x ) + k and f ( x + k )

Replacing f ( x ) with f ( x ) + k and f ( x + k )

K µ } } } ( ( d o W o v...ã Z \ ` a ^ : ^ F ] ä X X F [ X ä X X Z \ ^ ] Z : Y F [ ä X X F [ ä X X ã [ Z 9 ] : Z a ó Z \

K µ } } } ( ( d o W o v...ã Z \ ` a ^ : ^ F ] ä X X F [ X ä X X Z \ ^ ] Z : Y F [ ä X X F [ ä X X ã [ Z 9 ] : Z a ó Z \

Cadenas de Markov y Teoría de Colas - materias.fi.uba.armaterias.fi.uba.ar/6615/Material/markov.pdf · n m m k k m n m k n k m f x x f x x f x f x x f x x f x f x f x x x f x x x

Cadenas de Markov y Teoría de Colas - materias.fi.uba.armaterias.fi.uba.ar/6615/Material/markov.pdf · n m m k k m n m k n k m f x x f x x f x f x x f x x f x f x f x x x f x x x

Topic 10: Integration - Trinity College Dublin · 2019. 1. 3. · 3 Definition Just as f(x) = derivative of F(x) F(x) =∫f (x)dx Example F ( x ) = ∫3 x 2 dx = x 3 + c c=constant

Topic 10: Integration - Trinity College Dublin · 2019. 1. 3. · 3 Definition Just as f(x) = derivative of F(x) F(x) =∫f (x)dx Example F ( x ) = ∫3 x 2 dx = x 3 + c c=constant

f x - Gwinnett County Public Schools · f x x x 2 32 b. g x x 2 4 ; x 0 6. Verify which of the following are inverses of one another by considering f g x and g f x a. 4 4 f x x x

f x - Gwinnett County Public Schools · f x x x 2 32 b. g x x 2 4 ; x 0 6. Verify which of the following are inverses of one another by considering f g x and g f x a. 4 4 f x x x

Replacing f ( x ) with k • f ( x ) and f ( k • x )

Replacing f ( x ) with k • f ( x ) and f ( k • x )

Find ( f + g )(x f g )(x andFind ( f + g )(x), (f ± g)(x), (x),and x) for each f(x) and g(x). Indicate any restrictions in domain or range. 62/87,21 $16:(5 62/87,21

Find ( f + g )(x f g )(x andFind ( f + g )(x), (f ± g)(x), (x),and x) for each f(x) and g(x). Indicate any restrictions in domain or range. 62/87,21 $16:(5 62/87,21

Richardson’s Extrapolationmgu/MA128ASpring2017/MA... · f(x + h) = f(x) + f0(x)h + 1 2 f00(x)h2 + + 1 n! f(n)(x)hn + ; f(x h) = f(x) f0(x)h + 1 2 f00(x)h2 + + 1 n! f( n)(x) ( h)

Richardson’s Extrapolationmgu/MA128ASpring2017/MA... · f(x + h) = f(x) + f0(x)h + 1 2 f00(x)h2 + + 1 n! f(n)(x)hn + ; f(x h) = f(x) f0(x)h + 1 2 f00(x)h2 + + 1 n! f( n)(x) ( h)

funcy Documentation · string re_finder(f) re_tester(f) int or slice itemgetter(f) itemgetter(f) mapping lambda x: f[x] lambda x: f[x] set lambda x: x in f lambda x: x in f 2.1Supporting

funcy Documentation · string re_finder(f) re_tester(f) int or slice itemgetter(f) itemgetter(f) mapping lambda x: f[x] lambda x: f[x] set lambda x: x in f lambda x: x in f 2.1Supporting

KM 654e-20150205112121 · 2015. 2. 5. · 33 f(x) = 2x2 + 4x -3 = 2x — x 2 37. f(x) 18. 20. 22. 24. 26. 28. 30. 32. 34. 36. 38. f(x) - f(x) = ( f(x) = f(x) - f(x) f(x) — f(x)

KM 654e-20150205112121 · 2015. 2. 5. · 33 f(x) = 2x2 + 4x -3 = 2x — x 2 37. f(x) 18. 20. 22. 24. 26. 28. 30. 32. 34. 36. 38. f(x) - f(x) = ( f(x) = f(x) - f(x) f(x) — f(x)

(x) f(x,u) u x f(x, (x) x. Example: Using feed-forward, what should be canceled?

(x) f(x,u) u x f(x, (x) x. Example: Using feed-forward, what should be canceled?