Derivatives
Find the Derivative:
y = 5
y' = 0
Find the Derivative:
y = 5x8
y' =40x7
Define the Product Rule using f(x)g(x)
f′(x)g(x)+ g′(x)f(x)
Define the Quotient Rule using f(x)/g(x)
[g(x)f′(x) - f(x)g′(x)]/ (g(x))²
Two "boy bands" topped the charts for most album sales in 2000. Name one of those bands.
'Nsync and The Beatles
Find the Derivative:
y = sqrt(x)
y' = 1 / (2x1/2)
Find the Derivative:
y = 1/x2
y' = -2/x3
Differentiate the Product
y=x^2(3x+1)
9x^2+2x
Differentiate y= 2/(x+1)
y′ = -2/ (x+1)²
Which Destiny's Child singer debuted her first single in 2000?
Beyonce
Find the Derivative:
y = 4x5 + x
y' = 20x4 + 1
Find the Derivative:
y = x3 - 8x2 +5
y' = 3x2 - 16x
Differentiate
(2x+1)(3x-2)
12x-1
Differentiate y= (1+lnx) / (x²-lnx)
y′= [(1/x)-x-2xlnx] / (x²-lnx)²
Who had a pet llama named Tina and voted for Pedro?
Napoleon Dynamite
Find the Derivative:
f(x) = 4x4 - 5x -3
f'(x) = 16x3 - 5
Find the Derivative:
y = 4x6 -7x5 -9x3
y' = 24x5 -35x4 -27x2
Differentiate
f(x)=(-3+x^-3)(-4x^3+3)
-9x^-4 -36x^2
What is the derivative of a constant function?
Zero. Always.
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)
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
Differentiate
y=x^4(x^3-2x^2+3x-1)
7x^6-12x^5+15x^4-4x^3
f(x)= (x²-1)³/ x²+1, what is f′(x)?
f′(x)= [4x(x²-1)²(x²+2)] / (x²+1)²
What year was the World Wide Web introduced?
1989