Basic Derivatives
Product Rule
Quotient Rule
Chain Rule
Miscellaneous
100
Find the derivative of f(x) = 5
0
100

Find the derivative: 

f(x)=(x+2)(3x-1)

f'(x)=6x+5

100

Find the derivative: 

y=(x+1)/(x-3)

y'=-4/(x-3)^2

100
Find y' if y = (3x - 9)4
12(3x - 9)3
100

What movie is the following quote from?

"It's the chocolate-covered finger of a man named Clark!"

Hocus Pocus

200
What is the derivative of y = 3x2 ?
y' = 6x
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200
Find the derivative of y = (5x - 2)/(x2 + 1)
(-5x2 + 4x + 5)/(x2 + 1)2
200
Find the derivative of f(x) = sin 4x
4 cos 4x
200

Find the equation of the line tangent to the curve at x=2:

y=3x^2+2

y=12(x-2)+14

300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
300

Find the derivative: 

f(x)=(3x-4)/(2x^2-1)

f'(x)=(-6x^2+16x-3)/(2x^2-1)^2

300
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
300

What is the derivative of velocity?

Acceleration

400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400

Find the derivative: 

f(x)=x^2lnx

f'(x)=x+2xlnx

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

What Halloween activity stems from an ancient roman tradition that honored Pomona, the goddess of fruit and trees?

Bobbing for apples

500

Find the second derivative of y:

y=e^x+cosx

y''=e^x-cosx

500

Find the derivative: 

y=(x^2+2x)tanx

y'=(x^2+2x)(sec^2x)+(2x+2)(tanx)

500

Find the derivative: 

y=(sinxcosx)/tanx

y'=[tanx(-sin^2x+cos^2x)-sinxcosxsec^2x]/tan^2x

500

Find the second derivative: 

f(x)=sin4x

f''(x)=-16sin4x

500

What is the limit definition of a derivative?

lim_(h->0)[f(a+h)-f(a)]/h

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