Basic Derivatives
Product and Quotient Rule
Chain Rule
Implicit Differentiation
Facts you might know
100
What is the derivative of y = 3x2 ?
y' = 6x
100
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
100
Find y' if y = (3x - 9)4
12(3x - 9)3
100
Find the derivative implicitly x2 + y2 = 30
y' = - x/y
100
Elijah McCoy is famous for creating an automatic lubricating oil system on what this type of transportation.
What is a train (steam engine)?
200
Find the derivative of f(x) = 5
0
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200
Find the derivative of f(x) = sin 4x
4 cos 4x
200
sin x + 2cos 2y = 1
y' = cosx/4sin2y
200
This comedian sold out a show at a football stadium, then made even more money by making the same show into a movie.
Who is Kevin Hart?
300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300
Find the derivative of y = (5x - 2)/(x2 + 1)
(-5x2 + 4x + 5)/(x2 + 1)2
300
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
300
(y - 2)2 = 4x - 12
y' = 2/(y - 2)
300
James Harden scored 60 points in a triple double against this NBA team.
Who are teh Orlando Magic?
400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
400
f(x) = sin3 4x Find f'(x)
12sin2 4x cos 4x
400
x3 - 3x2y + 2xy2 = 12
y' = (-3x2 + 6xy - 2y2)/(-3x2 + 4xy)
400
George Washington Carver is famous for conducting dozens of experiments on this type of food.
What is the peanut?
500
This animal averages 28 hearts beat in a minute.
What is an elephant?
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