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Trigonometric Functions and Differentiation, Quizzes of Analytical Geometry and Calculus

Various trigonometric functions, their definitions, and the derivatives of these functions. It also includes the pythagorean identities and the concept of differentiability. The document concludes with the process of finding the equation for the tangent line to a function at a given point.

Typology: Quizzes

2009/2010

Uploaded on 02/11/2010

lgspark01
lgspark01 🇺🇸

2 documents

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bg1
TERM 1
cos
x
DEFINITION 1
f(x) [sin x]
TERM 2
- sin
x
DEFINITION 2
f(x) [cos x]
TERM 3
sec
x
DEFINITION 3
f(x) [tan x]
TERM 4
- csc
x
DEFINITION 4
f(x) [cot x]
TERM 5
sec x tan
x
DEFINITION 5
f(x) [sec x]
pf3
pf4
pf5

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cos

x

f(x) [sin x]

TERM 2

- sin

x

DEFINITION 2

f(x) [cos x]

TERM 3

sec

x

DEFINITION 3

f(x) [tan x]

TERM 4

- csc

x

DEFINITION 4

f(x) [cot x]

TERM 5

sec x tan

x

DEFINITION 5

f(x) [sec x]

- csc x cot

x

f(x) [csc x]

TERM 7

f(x) [sin x]

DEFINITION 7

cos x

TERM 8

f(x) [cos x]

DEFINITION 8

- sin x

TERM 9

f(x) [tan

x]

DEFINITION 9

secx

TERM 10

f(x) [cot x]

DEFINITION 10

- csc x

f(x) [x]

nx

TERM 17

f(x) [C f(x)]

DEFINITION 17

C f(x) [f(x)]

TERM 18

f(x) [f(x)g(x)]

DEFINITION 18

f(x)[g(x)] + g(x)[f(x)]

TERM 19

f(x) [f(x)/g(x)]

DEFINITION 19

g(x)[f(x)] - f(x)[g(x)] / [g(x)]

TERM 20

(1/g)

DEFINITION 20

-g/g

slope of secant line

y2 y1 / x2 x

TERM 22

slope of tangent line

DEFINITION 22

lim f(x0 + h) - f(x0) / h h

TERM 23

Rectilinear Motion

DEFINITION 23

Motion of an object moving in a straight line

TERM 24

f(x)

DEFINITION 24

lim f(x + h) - f(x) / h h

TERM 25

A function is differentiable at (x0)if...

DEFINITION 25

the limit of (x0) exists