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Let
*f* (*x*) =
*x*)
for
*x* > 0
, and
*f* (*x*) = 0
for
*x*≤ 0
. Which of
the following is true?

Compute .

Let
*g*(*x*) = 1/*x*
(with domain
| *x*| > 0
). Which of the following statements is true of
*g*
?

The function
*f* (*x*) = sin(*x*)
is invertible when defined on which of the following
domains?

What is the value of
*x* sin(1/*x*)
?

Let
*f* (*x*) = *ax* + *b*
. The inverse function of
*f* (*x*)
has slope

Let
*f* (*x*) = *x*
^{2}
for
*x*≠1
and let
*f* (1) = 2
. Then
*f* (*x*)
equals

The degree of the product of two degree 3 polynomials is equal to

Which of the following points is equal to the image of some real number in the domain of
the function
*f* (*x*) = 2 sin(2*x*)
?

The inverse function of
*f* (*x*) = (1/3)*e*
^{2x}
is

Find the derivative of
sin(*e*
^{x})
.

Compute the derivative of .

Find the derivative of
cos(sin(*x*)))
.

Compute the derivative of
25*x*
^{2} + 4
.

What is the derivative of
log *x*
?

What is the derivative of
| *x*|
at
*x* = 0
?

Find the derivative of
*e*
^{2x+1}
.

Compute the derivative of
1/(*x*
^{2} + 1)
.

What is the derivative of
at
*x* = 1/2
?

Find the third derivative of
*f* (*x*) = 2 sin(3*x*)
.

What is the derivative of
tan(*x*)
at
*x* = *Π*/2
?

Compute the derivative of
*f* (*x*) = (*x*
^{2} +1)log *x*
.

Find
*f'*(*x*)
, where
*f* (*x*) = *e*
^{-x} + *x*
.

Compute the derivative of
*x*
^{3} + *x* + 1/*x* + 1/*x*
^{3}
.

Find the values of
*x*
at all the critical points
*f* (*x*) = *x*
^{3}/3 - *x*
^{2} + *x*
.

Find the derivative of
1/tan(*x*)
.

What is the minimum value of
*e*
^{x} - *x*
?

Find the maximum value of
sin(*x*) + cos(*x*)
.

Find the minimum value of
*x*
^{2} - 6*x* + 11
on the interval
[2, 5]
.

Find all values of
*x*
at which the derivative of
*f* (*x*) = log| *x*| - *x*
is zero.

Use implicit differentiation to find the slope of the tangent line to the graph
of the equation
*x*
^{2}
*y*
^{4} = 2*x*
^{2} + *y*
at the point
(1, - 1)
.

Which of the following is an antiderivative of
-1/*x*
^{2}
?

What is the
*y*
-intercept of the tangent line to the graph of
*x*
^{2}
at
*x* = 3
?

Find the second derivative of
*x* log *x*
.

What is the
*x*
-intercept of the tangent line to the graph of
*e*
^{x}
at
*x* = 0
?

Compute the maximum vertical distance between the graphs of
cos(*x*)
and
sin(*x*)
.

If an ostrich's velocity at time
*t*
is given by
log(*t*
^{2})
, what is the ostrich's
acceleration at time
*t* = 4
?

What are the values of
*x*
at inflection points of
*x*
^{3} -3*x*
^{2} + *x* + 1
?

Compute
*L*
_{2}(sin(*x*), - *Π*, 0)
.

Find
*L*
_{4}(sin(*x*), - *Π*, 0)
.

Compute
4*x*
^{3}
*dx*
.

Find
cos(*x*)*x*
.

Compute
(1/*x*)*dx*
.

Find the upper Riemann sum
*U*
_{48}(5, 1, 2)
.

Compute
(1 - cos^{2}(*x*))*dx* + (- sin^{2}(*x*))*dx*
.

Which of the following is an antiderivative of
4(*x* + 1)^{3}
?

Find
*t*
^{2} - 1*dt*
.

Compute
sin(2*x*)*dx*
.

What is
(- 1/*x*
^{2})*dx*
?

The term 'indefinite integral' is equivalent to which of the following terms?