Product Rule
Tangent Lines
Random Trivia
Differentiability
Quotient Rule
100
This is the simplified derivative of
f(x)=7e^xsec(x)
What is
f'(x)=7e^xsec(x)tan(x)+7e^xsec(x)?
100
This is the equation of the tangent in Point-Slope Form given
f(3)=4 and f'(3)=-6
What is
y-4=-6(x-3)?
100
This color is the combination of red, yellow, and blue.
What is Brown
100
These are the x-values where the following function is non-differentiable:
What are x = -4, x = -3, x = 0, and x = 3?
100
This is the simplified derivative of
f(x)=(3x-4)/(2x+5)
What is
f'(x)=23/(2x+5)^2?
200
This is the simplified derivative of
f(x)=(3x^2+5x)(2x-3/x)
What is
f'(x)=18x^2+20x-9?
200
This is the equation of the tangent line at x = 1 given the function
h(x)=5f(x)-3g(x)
What is
y+2=8(x-1)?
200
This state is known as the Empire State.
What is New York?
200
These are the x-values where the following function is non-differentiable:
f(x)=x^(2/3)+(x-4)^(1/3)
What are x = 0 and x = 4?
200
This is the simplified derivative of
f(x)=tan(x)/(sin(x))
What is
f'(x)=sec(x)tan(x)?
300
This is the simplified derivative of
f(x)=(\sqrt(x^5)+9)sin(x)
What is
f'(x)=5/2x^(3/2)sin(x)+x^(5/2)cos(x)+9cos(x)?
300
This is the equation of the tangent line at x = 4 in Point-Slope Form given the function
f(x)=xe^(x)
What is
y-4e^x=5e^4(x-4)?
300
This Christopher Nolan film focuses on a group of individuals who dive deep into people's dreams to steal secret information.
What is Inception?
300
These are the x-values on the closed interval [0, 2π] where the following function is non-differentiable:
f(x)=tan(x)sec(x)
What are
x=\pi/2 and x=(3\pi)/2?
300
This is the simplified derivative of
f(x)=(3ln(x))/(4e^x)
What is
f'(x)=(3-3xln(x))/(4xe^x)?
400
This is the simplified derivative of
f(x)=-5ln(x)csc(x)
What is
f'(x)=(-5csc(x))/x-5ln(x)csc(x)cot(x)?
400
This is the equation of the tangent line at x = 2 given the function
k(x)=(f(x)+7)/(4g(x))
What is
y-5/6=1/2(x-2)?
400
Bruno Mars and ___________ make up the band Silk Sonic.
Who is Anderson Paak?
400
These are the values of a and b that make the function continuous and differentiable:
f(x)={(ax^4+5x if x\le2),(bx^2-3x if x>2):}
What is
a=1/2 and b=6?
400
This is the simplified derivative of
f(x)=cos(x)/(\sqrt(x))
What is
f'(x)=(-2xsin(x)-cos(x))/(2x\sqrtx)?
500
This is the simplified derivative of
f(x)=2/(x^2)(9x^4+xg(x))
What is
f'(x)=(36x^3-2g(x)+2xg'(x))/x^2?
500
This is the equation of the tangent line at x = π/4 in Point-Slope Form given the function
f(x)=xsin(x)cos(x)
What is
y-\pi/8=1/2(x-\pi/4)
500
This Broadway production focuses on a high school student with social anxiety, "who invents an important role for himself in a tragedy that he did not earn".
What is Dear Evan Hansen?
500
This is the sum of c and d which are values that make the function continuous and differentiable:
f(x)={(cx+d if x\le2),(x^2-cx if x>2):}
What is -2?
500
This is the simplified derivative of
f(x)=(-7x)/(xh(x))
What is
f'(x)=(7h'(x))/[h(x)]^2?