# Study sets matching "calculus"

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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…

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…