Back to the Basics
Find the derivative of the function:
12x4+8x3+9x2+46
What is
48x3+24x2+18x?
Find dy\dx for the equation x^2+y^2=10
What is dy/dx= -x/y
Find the slope of the tangent line to the curve x^2+y^2+xy=10 at the point (1,3)
What is -5/7
A spherical balloon is inflating, and its radius is increasing at a rate of 2 cm/sec. How fast is the volume of the balloon changing when the radius is 5 cm?
What is 200 cm^3/sec
How many books are in the Bible?
What is 66?
Find the derivative of f(x).
f(x)= ex/x4
What is
x4ex-4x3ex/x8
Find the derivative dy\dx of the equation x^2 + y^2 = 25
What is dy/dx = -x/y
Find the slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (2,2).
What is undefined?
A tank is being filled with water. The volume of the water in the tank is increasing at a rate of 10 cubic meters per minute. If the tank has a spherical shape, how fast is the radius of the water in the tank increasing when the radius is 3 meters?
What is 5/18π m/min
How many sons did Jacob have?
What is 12 sons?
Find the derivative of f(x)
x/x+ sin(x)
What is f'(x)= sin(x)- x cos(x)/(x+sin(x))^2?
Find dy\dx for the equation x^3+y^3=6xy
What is dy/dx= 3x^2-6y/6x-3y^2
Find the slope of the tangent line to the curve ln(xy)=xcos(y)at the point (1,π)
What is dy/dx=-2π
A ladder is leaning against a wall. The top of the ladder is sliding down the wall at a rate of 3 feet per second. If the length of the ladder is 10 feet, how fast is the bottom of the ladder moving away from the wall when the bottom is 6 feet from the wall?
What is 4 ft/sec?
The number of years the Israelites wandered in the wilderness.
What is 40 years?
Find the derivative of the function
f(x)= sin(x)
What is f'(x)= cos(x)?
Find dy\dx for the equation x^2+y^2=4xy
What is dy/dx= x-2y/2x-y
Find the slope of the tangent line to the curve sin(xy)=ln(x+y) at the point (1,0)
What is the tangent line does not exist?
A cylindrical tank has a height of 20 meters and a radius of 8 meters. Water is being pumped into the tank at a rate of 3 cubic meters per minute. How fast is the water level rising when the water is 10 meters deep?
What is 3/64π?
This New Testament letter contains the “Armor of God” passage.
What is Ephesians?
Find the derivative of the function
f(x)=ln(x)
Find dy\dx for the equation x^2y-3y^2=2xy
What is 2y-2xy/x^2-6y-2x?
Find the slope of the tangent line to the curve ln(xy)=sin(x+y) at the point (e,π)
What is dy/dx= π - e cos(e)/eπ +e cos (e)+cos(e)π
A balloon is being inflated in such a way that the volume of air inside the balloon is increasing at a rate of 6 cubic meters per minute. The radius of the balloon is related to the volume by the equation V=4/3πr^3 However, the radius of the balloon is also changing in such a way that the rate of change of the radius with respect to time is itself changing over time according to the function dr/dt=0.5et^t, where t is the time in minutes.
What is 6m^2/min?
This obscure figure assassinated King Eglon of Moab by plunging a dagger into his belly.
Who is Ehud?