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Differentiation 1
Differentiation 2
Anti-differentiation
Theorems
Applications
100
Find the derivative of f(x)=3/2x2
What is 3x?
100

This fast food chain is known for the golden arches.

What is Mcdonalds?

100
Integrate F'(x)=3x2+6x.
What is x3+3x2+C?
100
Complete the Fundamental Theorem of Calculus. ∫abF(x)dx=?
What is F(b)-F(a)?
100
Find the area of the region bounded by f(x)=x2-3x-10 and g(x)=-x2+5x+14.
What is 170.667?
200

This state was the first to be come a state in the US.

What is Delaware?

200

Find the derivative of f(x)=ln(x3+3x2+7).

What is (3x2+6x)/(x3+3x2+7)?

200

This is the number of keys on a piano.

What is 88?

200

This is the number of bones a shark has.

What is 0?

200

This M&M color is the rarest.

What is brown?

300
Find the slope of f(x)=5/3x3-3x2-1/x2 at x=-1
What is 9?
300
Find dy/dx for the following function: x2y3+y2+3x=y.
What is (-3-2xy3)/(3x2y2+2y-1)?
300
Find the equation of F given F'(x)=x3-3x2+7x+8 and F(0)=5
What is F(x)=(x4/4)-x3+3.5x2+8x+5
300

This theorem states that if a function is continuous and f(a)<d<f(b), then there exists a c such that f(c)=d.

What is the Intermediate Value Theorem?

300
The rate of change of radius r of a circle is 4 cm/s. Find the rate of change of Area A when r=2cm.
What is 16π?
400

This is the largest mammal.

What is a blue whale?

400
Find the derivative of f(x)=tan(3x).
What is 3sec2(3x)
400

When in groups, this jungle animal is referred to as an ambush.

What is a tiger?

400
Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫2x(9t+9)dt.
What is 9x+9?
400

This is the name of Thor's Hammer.

What is Mjolnir?

500

This is the largest organ in the body.

What is the skin?

500
A giraffe's tongue is this long.

What is 21 inches?

500
This potion grants good luck in Harry Potter and the Half-Blood Prince.

What is Felix Felicis?

500
This is the name for the fear of dogs

What is cynophobia?

500

This movie is the highest grossing of all time.

What is Avatar?