# Study sets matching "calculus"

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f is continuous at x=c if...

Intermediate Value Theorem

Global Definition of a Derivative

Alternative Definition of a Derivative

If f is continuous on [a,b] and k is a number between f(a) and…

f '(x) is the limit of the following difference quotient as x…

f is continuous at x=c if...

Intermediate Value Theorem

If f is continuous on [a,b] and k is a number between f(a) and…

1.) F(c) exists... 2.) limit F(x) as x app…

Yes lim+=lim-=f(c)... No, f'(c) doesn't ex…

This is a graph of f'(x). Since f'(C) e…

1

f is continuous at x=c if...

Given f(x):... Is f continuous @ C... Is f' continuous @ C

Given f'(x):... Is f continuous @ c?... Is there an inflection point…

1.) F(c) exists... 2.) limit F(x) as x app…

f is continuous at x=c if...

Yes lim+=lim-=f(c)... No, f'(c) doesn't ex…

Given f(x):... Is f continuous @ C... Is f' continuous @ C

f is continuous at x=c if...

Intermediate Value Theorem

Global Definition of a Derivative

Alternative Definition of a Derivative

If f is continuous on [a,b] and k is a number between f(a) and…

f '(x) is the limit of the following difference quotient as x…

f is continuous at x=c if...

Intermediate Value Theorem

If f is continuous on [a,b] and k is a number between f(a) and…

Two Special Trigonometric Limits

Definition of the Derivative of a Funct…

Average Velocity or Average rate of Cha…

Properties of the Natural Logarithmic F…

limx-->0 (sinx) / x = 1... lim x-->0 (1-cosx) / x = 0

f ' (x) = lim Δx-->0 [f(x+Δ x) - f(x)] / Δx

[f(b) - f(a)] / (b - a)

a. The domain is (0, ∝) and the range is (-∝,∝)... b. ln(1) = 0... c…

Two Special Trigonometric Limits

limx-->0 (sinx) / x = 1... lim x-->0 (1-cosx) / x = 0

Definition of the Derivative of a Funct…

f ' (x) = lim Δx-->0 [f(x+Δ x) - f(x)] / Δx

f is continuous at x=c if...

Intermediate Value Theorem

Global Definition of a Derivative

Alternative Definition of a Derivative

If f is continuous on [a,b] and k is a number between f(a) and…

f '(x) is the limit of the following difference quotient as x…

f is continuous at x=c if...

Intermediate Value Theorem

If f is continuous on [a,b] and k is a number between f(a) and…

Limit

Continuity

Intermediate Value Theorem

Squeeze Theorem

As function, f, approaches a value, x approaches a certain val…

The limit has to exist. The limit of f(x) has to equal the lim…

In a continuous function with the x values [a, b], it has y va…

If f(x) < g(x) < h(x). When x is near a (g(a) can be undefined…

Limit

As function, f, approaches a value, x approaches a certain val…

Continuity

The limit has to exist. The limit of f(x) has to equal the lim…

1.) F(c) exists... 2.) limit F(x) as x app…

Yes lim+=lim-=f(c)... No, f'(c) doesn't ex…

This is a graph of f'(x). Since f'(C) e…

1

f is continuous at x=c if...

Given f(x):... Is f continuous @ C... Is f' continuous @ C

Given f'(x):... Is f continuous @ c?... Is there an inflection point…

1.) F(c) exists... 2.) limit F(x) as x app…

f is continuous at x=c if...

Yes lim+=lim-=f(c)... No, f'(c) doesn't ex…

Given f(x):... Is f continuous @ C... Is f' continuous @ C

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

limit of a function

vertical asymptote

average velocity

instantaneous rate of change

suppose f(x) is defined when x is near A (in an open interval…

limx-->af(x)=+-infinity then A is this

displacement over change in time

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

instantaneous rate of change

limit of a function

suppose f(x) is defined when x is near A (in an open interval…

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

limit of a function

vertical asymptote

average velocity

instantaneous rate of change

suppose f(x) is defined when x is near A (in an open interval…

limx-->af(x)=+-infinity then A is this

displacement over change in time

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

instantaneous rate of change

limit of a function

suppose f(x) is defined when x is near A (in an open interval…

Calculus

Mathematics

Geometry

Algebra

the mathematical study of change, in the same way that geometr…

the study of topics such as quantity (numbers), structure, spa…

a branch of mathematics concerned with questions of shape, siz…

one of the broad parts of mathematics, together with number th…

Calculus

the mathematical study of change, in the same way that geometr…

Mathematics

the study of topics such as quantity (numbers), structure, spa…