# The equation of the tangent to the curve 2x2 - y4 = 1 at the point (1,1) is this. What is y=x?

## Presentation on theme: "The equation of the tangent to the curve 2x2 - y4 = 1 at the point (1,1) is this. What is y=x?"— Presentation transcript:

The equation of the tangent to the curve 2x2 - y4 = 1 at the point (1,1) is this.
What is y=x?

is this. What is infinity?

is this. What is C

is also this function. What is ?

What is the Intermediate Value Theorem?
If f(x) is continuous,f(1) = 8 and f(4) = -3, this theorem tells me that f(x) must pass the x-axis at least once between x=1 and x=4. What is the Intermediate Value Theorem?

The Mean Value Theorem tells us that if a function is differentiable on an interval then there is a value in that interval at which the slope of the tangent line is equal to this quantity. What is the average rate of change on the interval? Or What is the slope of the secant line?

The derivative of y = ln(u) with respect to x is this.
What is ?

This graph can assist in visualizing the solution to a differential equation.
What is a slope field?

has a horizontal asymptote at this line.
What is y=0?

These are values where the derivative of a function is zero or undefined.
What are critical points?

This ancient mathematical cult hid the existence of irrational numbers fearing their impact on mathematics. Who are the Pythagorians?

This mathematician is most well known for the theorem stating that has no integer solutions for a, b, and c when n is a natural number greater than 2. Who is Fermat?

This famous mathematician / computer scientist was submitted to experiments using drugs because of his sexual preference. Who is Alan Turing?

This French mathematician died in a duel at the age of 20…leaving behind a legacy of hastily scribbled theorems. Who is Evariste Galois?

This is the full name of the English mathematician who co-created the study of Calculus.
Who is Sir Isaac Newton?

is this. What is ?

The area between y = x2 and y=x is this number.
What is 1/6?

gives this family of functions.
What is ?

The slope of the tangent line to the curve given by xy2 + 2xy + 3x = 4 when x = 2 is this.
What is undefined?

The area between the graphs of cosx and sinx between two consecutive intersection points.
What is ?

sin2(4θ) + cos2(4θ) is always this number.
What is One?

As long as b≠0, then if logba=0, a must be this number.
What is 1?

The limit of (sin x)/x as x approaches zero.
What is one?

The area between x=0 and x=π bounded by the x-axis and the sine function.
What is 1 +1?

Song by Bob Marley whose title might have been a better name for this category.
What is “One Love”?

DAILY DOUBLE

DAILY DOUBLE

FINAL JEOPARDY

CALCPARDY

Theorems Applied Mathe-maticians Problem Solving Pot-Pourri 200 200
The Loneliest Number Pot-Pourri 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800 1000 1000 1000 1000 1000 F

The formula for the surface area of a sphere

What is the Intermediate Value Theorem?
If f(x) is continuous,f(1) = 8 and f(4) = -3, this theorem tells me that f(x) must pass the x-axis at least once between x=1 and x=4. What is the Intermediate Value Theorem?

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