Exponents
Simplify the term (with no negative exponents or fraction exponents):
(2x4)(2x)
4x5
What is the name of the derivative of a linear function?
y = x1
Constant Function
y = x0
Find the Derivative:
y = 5
y' = 0
Find the Derivative:
y = 5x8
y' =40x7
Two "boy bands" topped the charts for most album sales in 2000. Name one of those bands.
'Nsync and The Beatles
Simplify the term (with no negative exponents or fraction exponents):
(4x6)1/2
2x3
What is the name of the derivative of a quartic function?
Cubic Function
Find the Derivative:
y = sqrt(x)
y' = 1 / (2x1/2)
Find the Derivative:
y = 1/x2
y' = -2/x3
Which Destiny's Child singer debuted her first single in 2000?
Beyonce
Simplify the term (with no negative exponents or fraction exponents):
(2x4y-3)-1
y3 / 2x4
What is the power rule?
y = n*xn-1
Find the Derivative:
y = 4x5 + x
y' = 20x4 + 1
Find the Derivative:
y = x3 - 8x2 +5
y' = 3x2 - 16x
Who had a pet llama named Tina and voted for Pedro?
Napoleon Dynamite
Simplify the term (with no negative exponents or fraction exponents):
(4x0y-2z3) / (4x)
z3 / xy2
What is the derivative of a constant function?
Zero. Always.
Find the Derivative:
f(x) = 4x4 - 5x -3
f'(x) = 16x3 - 5
Find the Derivative:
y = 4x6 -7x5 -9x3
y' = 24x5 -35x4 -27x2
This book was the final in its series when released in 2007, selling out all 15 million copies in under 24 hours.
Harry Potter (and the Deathly Hallows)
Simplify the term (with no negative exponents or fraction exponents):
(x1/2y-2z7/2) / (x3/2y3z3/2)
z2 / xy5
What is the name of the derivative of a rational function?
y = 1/x
y = 1/x5
Another rational function!
y' = -1/x2
y' = -1/x6
Find the Derivative:
y = -4x-5 + 2x
y' = 20/x6 +2
Find the Derivative:
y = 0.5x4 +5x + x-3
y' = 2x3 + 5 - 3/x4
What year was the World Wide Web introduced?
1989