Basic Derivatives
Power Rule
Quotient Rule
Product Rule
Graphs
Random
200
The derivative of f(x)=17
What is
f(x)=0 ?
200
d/dx x^4
What is
d/dx = 4x^3 ?
200
d/dx (3x^2)/(5x+1)
What is
d/dx = (15x^2+6x)/(25x^2+10x+1)?
200
d/dx 7xe^(2x)
What is
d/dx = 14xe^(2x)+7e^(2x) ?
200
2f'(-2)+f'(3) 
What is
-1 ?
200
The name of this mathematical concept: (f(x_2)-f(x_1))/(x_2-x_1)
What is the "Average Rate of Change"?
400
d/dx 3x
What is
d/dx = 3 ?
400
d/dx -3x^5
What is
d/dx = -15x^4 ?
400
d/dx (3e^(2x))/x^3
What is
d/dx = (6x^3e^(2x)-9x^2e^(2x))/x^6 ?
400
d/dx sin(x)ln(x)-8x^3
What is
d/dx = (sin(x))/x-cos(x)ln(x)-24x^2 ?
400
The shape of the derivative of the graph below is most commonly referred to as this
What is a "Parabola"?
400
The derivative of f(x)=tan(x)
What is
f'(x)=sec^2(x) ?
600
f'(x) given that
f(x)=-2x+18
What is
f'(x)=-2 ?
600
d/dx 3/x^6
What is
d/dx = -18/x^7 ?
600
The simplified form of f'(x) given that f(x)=(-sin(2x))/(2x^2)
What is
f'(x)=(sin(2x)-xcos(2x))/x^3 ?
600
The derivative with respect to x of cos((x)/2)(4x^3)
What is
d/dx = 12x^2cos(x/2)-2x^3sin(x/2) ?
600
The x positions on the graph that are not differentiable
What is
x={-1, 4, 8, 11} ?
600
The name of this mathematical concept lim_(h -> 0) (f(x+h)-f(x))/h
What is the "Definition of a Derivative"?
800
f'(0)+g'(1) given that f(x) = sin(x) and g(x)=5x-8
What is
f'(0)+g'(1)=6 ?
800
f'(x) given that f(x)=4x^2+3x-1/x^3
What is
f'(x)=8x+3+3/x^4 ?
800
f'(2) given that f(x)=(5e^(x/2)+2x)/x^3
What is
f'(2)=(-5e)/8 ?
800
f'(3) given that f(x)=9x^-3e^(6x)
What is
f'(3)=(5e^18)/3?
800
The number of points on the graph where f'(x) is equal to the average rate of change between x=-4 and x=0
What is 3 points?
800
The name of this mathematical concept lim_(x->oo) (1+1/x)^x
What is the "Definition of the Natural Exponent, e"?
1000
Given that f(x)=cos(x) and g(x)=sqrt3/2 x , the lesser value between f'((11pi)/6) and g'(1)
What is
f'((11pi)/6) ?
1000
d/dx (-3x^2)/x^-7+4x^-2
What is
d/dx = -27x^8-8/x^3 ?
1000
d/dx (f(x))/g(x) given that f(x)=ln(2x)+2x and g(x)=2x^2
What is
d/dx = (1-2x-2ln(2x))/(2x^3) ?
1000
d/dx 2xe^xln(x)
What is
d/dx = 2e^x+2e^xln(x)+2xe^xln(x) ?
1000
The value of 3f'(-4)-2f''(-1)-4f'(2)+2f'(4) is equal to this
What is 6?
1000
The derivative of f(x)=e^(ln(ax))
What is
f'(x)=a ?