# 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…

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f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

f'(x) - g'(x)

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

derivative of the difference between two functions

f'(x) + g'(x)

derivative of the summation of two functions

cf'(x)

derivative of a constant times a function

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…

Calculus

Differential Calculus

Intergral Calculus

Differential

The branch of mathematics that deals with the finding and prop…

Calculus that deals with differentials.

Calculus that deals with integrals.

Pertaining to a differential.

Calculus

The branch of mathematics that deals with the finding and prop…

Differential Calculus

Calculus that deals with differentials.

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

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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…

Fundamental Theorem of Calculus (part 2…

Integral of dx/(sqrt(1-(x^2))) =

Integral from a to b of (rate of change…

Fundamental Theorem of Calculus (part 1…

F(b) - F(a), where F is an antiderivative of f.

arcsin(x) + C

The amount which that quantity has changed from t = a to t = b.

f(x)

Fundamental Theorem of Calculus (part 2…

F(b) - F(a), where F is an antiderivative of f.

Integral of dx/(sqrt(1-(x^2))) =

arcsin(x) + C

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