# Study sets matching "calculus"

0

f'(x) + g'(x)

cf'(x)

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

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

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…

0

f'(x) + g'(x)

cf'(x)

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

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

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

0

f'(x) + g'(x)

cf'(x)

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

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

0

f'(x) + g'(x)

cf'(x)

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

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

Product Rule

Quotient Rule

Adding Derivatives

Subtracting Derivatives

f'(x)

**g'(x)=g(x)**f'(x)+g'(x)*f(x)f(x)/g(x)=(g(x)

**f'(x)-g'(x)**f(x))/(g(x))^2(f(x)+g(x))'=f'(x)+g'(x)

(f(x)-g(x))'=f'(x)-g'(x)

Product Rule

f'(x)

**g'(x)=g(x)**f'(x)+g'(x)*f(x)Quotient Rule

f(x)/g(x)=(g(x)

**f'(x)-g'(x)**f(x))/(g(x))^20

f'(x) + g'(x)

cf'(x)

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

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions