Implicit Differentiation
Trig Implicit Differentiation
Derivative Rules
Word Origins
American History
100

x^2+y^2=25

dy/dx=x/y

100

sin x + cos y = 1


dy/dx=cos x / sin y

100

d/dx(u/v)

= (vu' - uv')/(v2)

100

This 9-letter word for an insect may have come about because people believed this bug ate uncovered dairy products.

What is a butterfly?

100

On November 21, 1620, 41 male passengers signed this document while anchored at a Massachusetts harbor

What is The Mayflower Compact?

200

x^2+xy+y^2=7

dy/dx=-2x+yx+2y

200

cos(xy)=y

dy/dx=(1-sin(xy))/(xsin(xy)+1)

200

d/dx(logau)

(u')/(ulna)

200

This 7-letter golf word may have come about because people believed this land is the place of just methods.

What is a fairway?

200

A 1711 bill cleared the names of 22 people who were tried in this town, including Rebecca Nurse, Giles Corey & John Proctor

What is Salem, Massachusetts?

300

x^3+y^3=6xy

dy/dx=-(2y-x^2)/(y^2-2x)

300

sin(xy)=x+y

dy/dx=(1-ycos(xy))/(xcos(xy)-1)

300

d/dx(tan u)

sec2u * u'

300

This 9-letter playground game may have come about because people associated it with a jumping piece of tape.

Hopscotch

300

He wrote the Massachusetts Constitution, signed the Treaty of Paris, and then became vice president, which he did not enjoy.

Who is John Adams?

400

(x^2)y+y^2=10

dy/dx=-(2xy)/(x^2+2y)

400

sin(xy) + cos(xy) = 1

dy/dx=-y/x

400

d/dx(csc u)

-csc(u)cot(u) * u'

400

This 10-letter geological phenomenon and Tyler, The Creator song title may have come about because the world begins to tremble.

What is an earthquake?

400

The religious movement that began to sweep through the colonies in the 1730s was called the "great" this

What is Awakening?

500

x^3+xy^2=4

dy/dx=-(3x^2+y^2)/(2xy)

500

tan(xy)=x+y

dy/dx=(1-ysec^2(xy))/(xsec2(xy)-1)

500

d/dx(sec u)

sec u * tan u * u'

500

This 11-letter Clue weapon and fancy decoration may have come about because of the item it carries.

What is a candlestick?

500

Aaron Burr mortally wounds this Founding Father during a pistol duel in Weehawken, New Jersey.

Who is Alexander Hamilton?