#### Study sets matching "calculus ab"

#### Study sets matching "calculus ab"

Derivative of a Constant Function

Power Rule for Positive Integers

The Constant Multiple Rule (POTC)

The Sum + Difference Rule

If f is the function with a constant value c, then df/dx = d'…

If n is an integer and x cannot equal 0,

Pull out the multiplicative constant

Derivative of a Constant Function

If f is the function with a constant value c, then df/dx = d'…

Power Rule for Positive Integers

If n is an integer and x cannot equal 0,

exponential function

indefinite integral

Absolute minimum

Differentiable

A function of the form f (x) = a x where a is any positive co…

this represents the family of antiderivatives of the function f

The least single value that a function attains on a given int…

A function f is said to be differentiable at a point x = a if…

exponential function

A function of the form f (x) = a x where a is any positive co…

indefinite integral

this represents the family of antiderivatives of the function f

When asked to INTERPRET

Numerical derivative on calculator por…

Rounding

Justification

state when, what, how, and how much

does not require work to be shown

Round to 3 decimals at the end, 5 during work

use what has been given to you

When asked to INTERPRET

state when, what, how, and how much

Numerical derivative on calculator por…

does not require work to be shown

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate inst…

Slope of tangent line at a point, value of derivative at a po…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate inst…

Intermediate Value Theorem

Mean Value Theorem

Fundamental Theorem of Calculus #1

FTC #2

What Theorem covers this?... If f is continuous on [a,b] and k…

Name this Theorem

What is Theorem called?... The definite integral of a rate of c…

What is this called?

Intermediate Value Theorem

What Theorem covers this?... If f is continuous on [a,b] and k…

Mean Value Theorem

Name this Theorem

Intermediate Value Theorem

Mean Value Theorem

Rolle's Theorem

Trig Identity: sin2x =

If the function f(x) is continuous on [a,b], and 'y' is a num…

If the function f(x) is continuous on [a,b], AND the first de…

If the function f(x) is continuous on [a,b], AND the first de…

2sin(x)cos(x)

Intermediate Value Theorem

If the function f(x) is continuous on [a,b], and 'y' is a num…

Mean Value Theorem

If the function f(x) is continuous on [a,b], AND the first de…

Average Rate of Change/Average Velocity

Instantaneous Rate of Change/ Instanta…

Horizontal Tangent line

Finding the time when the object hits…

Slope over an interval- use f(x) to make a table

Slope at an instant (Need derivative)

Slope is zero (f prime=0)

Means position is 0 so set s(t)=0 and solve

Average Rate of Change/Average Velocity

Slope over an interval- use f(x) to make a table

Instantaneous Rate of Change/ Instanta…

Slope at an instant (Need derivative)

10

5

6

3/2

Evaluate the limit in Part A given the following information:

Evaluate the limit in Part B given the following information:

Evaluate the limit in Part C given the following information:

Evaluate the limit in Part D given the following information:

10

Evaluate the limit in Part A given the following information:

5

Evaluate the limit in Part B given the following information: