Implicit Differentiation
This is the derivative of
x^2-5xy+y^2=16
What is
dy/dx=(5y-2x)/(2y-5x)?
This is the first derivative of the parametric curve defined by the equations
x(t)=4t^5+8t and y(t)=\sqrt(t+4)
What is
dy/dx=1/((40t^4+16)\sqrt(t+4))?
This color is the combination of all the primary colors.
What is Brown?
This is the x-value where the following function is not differentiable and its type of non-differentiability for
f(x)=|3x-18|
What is a sharp turn at
x=6?
This is the derivative of
y=4^(\sqrt(x^2-6x))
What is
dy/dx=(4^(\sqrt(x^2-6x))ln(4)(x-3))/sqrt(x^2-6x)?
This is the derivative of
sec(y)=y*arccos(5x)
What is
dy/dx=(5y)/((sec(y)tan(y)-arccos(5x))\sqrt(1-25x^2))?
This is the first derivative of the parametric curve defined by the equations
x(t)=arctan(-6t) and y(t)=t-12t^3
What is
dy/dx=(1-1296t^4)/(-6)?
This state is known as the Empire State.
What is New York?
This is the x-value where the following function is not differentiable and its type of non-differentiability for
f(x)=(4x^3-500)^(2/3)
What is a cusp at
x=5?
This is the derivative of
y=[csc(x)]^x
What is
dy/dx=[csc(x)]^xln(csc(x))-xcot(x)[csc(x)]^x?
This is the derivative of
xe^(y^2+6x)=ln(y^3)
What is
dy/dx=(ye^(y^2+6x)+6xye^(y^2+6x))/(1-2xye^(y^2+6x))?
This is the second derivative of the parametric curve defined by the equations
x(t)=5/t^2 and y(t)=3t^2-9t
What is
dy/dx=(24t^5-27t^4)/625?
This Christopher Nolan film focuses on a group of individuals who dive deep into people's dreams to steal secret information.
What is Inception?
This is the x-value where the following function is not differentiable and its type of non-differentiability for
f(x)=(8x+56)^(3/7)
What is a vertical tangent at
x=-7?
This is the derivative of
y=[sin(x)]^(e^(-x^2))
What is
dy/dx=-2xe^(-x^2)[sin(x)]^(e^(-x^2))ln(sin(x))+e^(-x^2)cot(x)[sin(x)]^(e^(-x^2))?
This is the equation of the tangent line in Slope-Intercept Form for the following relation at x = 1 where y < 0
x^4+y^2=3
What is
y=\sqrt(2)x-2\sqrt(2)?
This is the equation of the tangent line of the parametric curve defined by the equations at t = π/2
x(t)=2cos(3t)-4sin(3t) and y(t)=3tan(6t)
What is
y=3x-12?
Anderson Paak and ___________ make up the band Silk Sonic.
Who is Bruno Mars?
These are the x-values where the following function is not differentiable and their types of non-differentiability for
f(x)=(x^3-9x^2)^(1/3)
What is a cusp at x = 0 and a vertical tangent at x = 9?
This is the derivative of
y=7x[tan(x)]^(2/x)
What is
dy/dx=[1/x-(2ln(tan(x)))/x^2+(2sec^2(x))/(xtan(x))]7x[tan(x)]^(2/x)?
This is the equation of the normal line in Slope-Intercept Form for the following relation at x = 1 where y ≠ 0
y^2e^(2x)=3y+x^2
What is
y=1/6x+3?
This is the equation of the tangent line of the parametric curve defined by the equations at the Cartesian Point (-3, 7) where t > 0
x(t)=t^2-2t-11 and y(t)=t(t-4)^3-3t^2(t-4)^2+7
What is
y=7?
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?
These are the x-values on the interval (0, 2π) where the following function is not differentiable and its type of non-differentiability for
f(x)=arcsin(cos(2x))
What are sharp turns at
x={\pi/2, \pi,( 3\pi)/2}?
This is the derivative of
y=[ln(x)]^x/(2^(3x+1))
What is
dy/dx=[[ln(x)]^(x-1)[1+ln(x)*ln(ln(x))-ln(8)*ln(x)]]/2^(3x+1)?