Power and Quotient Rule
Chain Rule
Random Calculus
Implicit
Wild Card
100
differeniate y= (2)/(x+1)
y'=(-2)/(x+1)^2
100
Find the derivative of y=(2x+1)^5 using the chain rule f'[g(x)]*g'(x)
y'= 10(2x+1)^4
100
Use f'[g(x)]*g'(x) to find the derivative of y=-10x+3cos(x)
y'(-10x) = -10 y'(cos)= -sin SO THE ANSWER IS y'= -10-3sin(x)
100
Use implicit differentiation to solve x^2-y^2=1
2x-2y(dx/dy)=0 (2x/2y)=(dx/dy) (x/y)=(dx/dy)
100
What is the name of Ryan Strickland's dog?
Benny
200
differentiate y=(x^2)/(3x-1)
y'=x(3x-2)/(3x-1)^2
200
Find the derivative of y=sin(3x+1) using the chain rule f'[g(x)]*g'(x)
y'= 3cos(3x+1)
200
Use the chain rule to find the derivative of y= (1-(x/7))^-7
Plug into the chain rule equation to get y'=-7(1-(x/7))^-8 (-1/7) Simply and get y'= [1-(x/7)]^-8
200
x^3+y^3=1
y'=-(x^2/y^2)
200
Who put graffiti on the back of Rush and the prop tanks last year about the dining hall?
Golden Retreiver
300
Differentiate y=(x^3+7x-1)(5x+2)
y'=20x^3+6x^2+70x+9
300
Find the derivative of y=cos(sin(x) using the chain rule f'[g(x)]*g'(x)
y'= -sin(sinx)(cosx)
300
What is the derivative of Tangent?
Sec^2
300
(16x^2)+(25y^2)=400
32x+50y(dx/dy)=0 (-16x/25y)
300
Which California campus won #1 most beautiful?
Idyllwild Arts :)
400
differentiate y=(4x^3-7x)/(5x^2+2)
y'=(20x^4-59x^2-14)/(5x^2+2)^2
400
Find the derivative of y=tan(10x-5) using the chain rule f'[g(x)]*g'(x)
y'= 10sec^2(10x-5)
400
What is the definition of a derivative?
The instantaneous rate of change of a function at any given point.
400
(x-1)y^2=x+1
y'=(1-y^2)/(2xy-2y)
400
What is the name of Reina's daughter?
Claudia
500
differentiate y=5x^2 sinx cosx
y'=10x+cos^2x-sin^2x
500
Find the derivative of y=sin^3(x) using the chain rule f'[g(x)]*g'(x)
y'= 3sin^2(x)[cos(x)]
500
Find the limit as x approaches to 2 of sin[(1/x)-(1/2)]
Sin(0)= 0
500
Find the slope of the curve at the given point xy^5+x^5y=1 (-1, -1)
y'=-1
500
What is the dining hall serving today?
Trick question: Always salad and peanut butter toast.
M
e
n
u