Limits and Continuity
Concepts of Differentiability
Differentiation Techniques
Contextual Applications of Derivative
Random Trivia
100
This is the limit as x approaches 4
What is 5?
100
This is a point on the curve that is continuous but not differentiable
What is 8?
100
The derivative of
f(x)=e^(9x)-tan(x)
What is
f'(x)=9e^(9x)-sec^2(x)?
100
This is a particle's velocity given its displacement is the function
s(t)=5t^3-6t^2+10t
What is
v(t)=15t^2-12t+10?
100
The number of strings on a standard guitar
What is six?
200
This is the result of
lim_(x→3) (x^2+5x-24)/(5x^2-45)
What is
11/30?
200
The slope of the tangent line to the function at x=5
f(x)=9x^2+3x
What is 93?
200
The derivative of
xy+x^2=cos(y)
What is
dy/dx=(y+2x)/(-sin(y)-x)?
200
This is a particle's acceleration given its displacement is the function
s(t)=5sin(4t)
What is
a(t)=-80sin(4t)?
200
This baseball team currently has the most World Series Championships
Who are the New York Yankees?
300
This is the result of
lim_(x→9) (√x-3)/(x-9)
What is
1/6?
300
The slope of the normal line to the function at x=4
f(x)=20x^(1/2)
What is
-1/5?
300
The derivative of
f(x)=tan^(-1)(ln(x))
What is
f'(x)=(1/x)/(1+ln(x)^2?
300
The marginal cost of producing 100 items given the cost function
C(x)=0.05x^2+14x
What is
C'(100)=$15?
300
Bruno Mars and ___________ make up the band Silk Sonic.
Who is Anderson Paak?
400
This is the value of c that makes these two continuous at x=4:
12c+x^2
-8c-4x
What is
8/5?
400
The slope of the tangent line to the function at x=2
f(x)=4/(x^3)
What is
-3/4?
400
The derivative of
f(x)=5^csc(x)
What is
f'(x)=-5^csc(x)ln(5)csc(x)cot(x)?
400
The average cost of producing 50 items given the cost function
C(x)=0.2x^2+10x+30
What is
bar C(x)=$11.60?
400
This pandemic arose in 2009 and was caused by the H1N1 influenza virus
What is Swine Flu?
500
This is the result of
lim_(x→∞) 12^(-x)
What is 0?
500
The slope of the normal line to the function at x=0
f(x)=7sin(x)
What is
-1/7?
500
The derivative of
f(x)=log_3(cot(x))
What is
f'(x)=-csc^2(x)/(ln(3)cot(x))?
500
The maximum profit given the profit function
π(x)=-0.01x^2+40x-120
What is
π(200)=$7480?
500
The director of Spiderman: No Way Home
Who is Jon Watts?