What are the two different names for derivatives mentioned or used in our Calculus class?

What will you get if you derive and integrate acceleration?

What is the derivative of the integral called?

Find the derivative of the function:
lim as h goes to 0 of
(2(x+h)^2-16(x+h)+35-(2x^2-16x+35))/h

Integrate: ( x^2*cos(x^3) ) + ( 6x*(4x^2+9)^5 )

Suppose that the Cholera bacteria in a colony grows unchecked. The colony starts with one bacterium and doubles in number every half hour. How many bacteria will the colony contain at the end of 24hr?

What is the lim as x approaches infinity of the function (e^x/x^2)?

Solve:
lim as x goes to infinity of
(4x^12-4x^2+8x^6)/(x^6-2x^13-7)

Differentiate: 2xy + y^3 + 2x^2=16 (1,3)

Air is being pumped into a spherical balloon at a rate of 16 cubic ft/min. Find the rate of change of the radius when the radius is 2 ft.

Find the right Riemann sum with 3 unequal subdivisions from x=0 to x=8 given the following points:
(0,2), (3,5), (4,7), (8, 11)

Solve for b:
The integral from 2 to b of x^5+3 is equal to 2602.5

lim x goes to infinity of arctan(x)

A manufacturer wants to design an open box having
a square base and a surface area of 108 square inches.What dimensions will produce a box with maximum volume?

Find y using dy/dx=3x^2/y^2 and the point (0,2).

Find the absolute max and min value of f(x)=8x^3+81x^2-42x-8 on [-8,2]

Differentiate: 4ln(ln(ln(secx)))

A man (6ft) walks away from a lamp post (15ft) at 5 ft/s. How fast is his shadow lengthening? How fast is the shadow's tip moving?

Find the volume of the solid obtained by rotating the region under the curve y=2x^2 about the x-axis between x=1 and x=2.

Find the numbers 'c' which satisfies the MVT for f(x)=3x^9-x^5+2x^2-5 on [-2,2]