AP Calculus AB

Front

What is the derivative of tan(x)?

Back

sec²(x)

Front

Select the integral that would find the volume of the region revolving around the given axis.

Back

(Refer to the image for the specific integral)

Front

Find the limit as x approaches a certain value.

Back

16

Front

What is the second derivative of f(x) = cos(4x)?

Back

-16 cos(4x)

Front

Name the discontinuity at x=2.

Back

Infinite Discontinuity

Front

What is the definition of a derivative?

Back

The derivative of a function measures the rate at which the function's value changes at a given point.

Front

What is the Fundamental Theorem of Calculus?

Back

It links the concept of differentiation and integration, stating that if F is an antiderivative of f on an interval [a, b], then ∫_a^b f(x) dx = F(b) - F(a).

Front

What is the limit definition of a derivative?

Back

f'(x) = lim (h -> 0) [(f(x+h) - f(x))/h].

Front

What is a removable discontinuity?

Back

A point where a function is not defined, but can be made continuous by defining it appropriately.

Front

What is the second derivative test used for?

Back

To determine the concavity of a function and identify local maxima and minima.