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100
What is the derivative of y = 3x^2
What is y'=6x
100
Find the derivative of x^3+2y=4x
What is y'= 2-3/2x^2
100
f(x) = (−3 + x^−3)(−4x^3+ 3)
What is f'(x)=36x^2 - 9/x^4
100
y = 2 / 2x^4− 5
What is y' = -16x^3 / (2x^4-5)^2
100
f(x) = (3x - 2x^2)(5 + 4x)
What is -24x^2 + 4x + 15
200
A supermarket employee wants to construct an open-top box from a 14 by 30 in piece of cardboard. To do this, the employee plans to cut out squares of equal size from the four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume?
What is 3in
200
Find the derivative of f(x) = 5
What is 0
200
y = (x^4+ 3)(−4x^5+ 5x^4+ 5)
What is y'=-36x^8+40x^7-60x^4+80x^3
200
Find the derivative of y = (5x - 2)/(x^2 + 1)
What is (-5x^2 + 4x + 5)/(x^2 + 1)^2
200
Find the derivative y= 4(6x+3)^-3
What is -72 / (6x+3)^4
300
x^3 - 3x^2y + 2xy^2 = 12
What is y' = (-3x^2 + 6xy - 2y^2)/(-3x^2 + 4xy)
300
An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions will result in a box with the largest possible volume ?
What is x=4 ft. and y=2 ft
300
Find the derivative of f(x) = 6x3 + x - 2
What is f'(x)=18x^2+x-2
300
Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope?
What is 12ft from short pole or 18ft from the large pole
300
Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?
What is 40pi
400
y = (9x^2 + 4)^1/3
What is (6x)/(9x^2 + 4)^2/3
400
y = (3x - 9)^4
What is 12(3x-9)^3
400
(y - 2)^2 = 4x - 12
What is y' = 2/(y - 2)
400
Find the derivative of f(x) = 3sinx - 2cosx
What is f'(x)=3cos(x)-2sin(x)
400
Find the derivative implicitly x^2 + y^2 = 30
What is y' = - x/y