Partial Derivation

Polynomials

100

z=x²y+2

∂z/∂x=

∂z/∂x=2xy

200

z=x²y+3xy²+4x

∂z/∂x=

∂z/∂x=2xy+3y²+4

300

z=4x³y-3x²y²+7xy-6x

∂z/∂y=

∂z/∂y=4x³-6x²y+7x

Exponentials

100

z=ye^2x

∂z/∂x=

∂z/∂x=2ye^2x

200

z=xy²e^x+y

∂z/∂x=

∂z/∂x=2xy²e^x+y

300

z=x²y³e^3x

∂z/∂y=

∂z/∂y=3x²y²e^3x

Trig

100

z=cos(x)y

∂z/∂x=

∂z/∂x=-ysin(x)

200

z=sin(x)tan(y)

∂z/∂x=

∂z/∂x=cos(x)tan(y)

300

z=ysin(5x)e^9y

∂z/∂x=

∂z/∂x=y5cos(5x)e^9y

Calculus Trivia

100

_____ is Eulers number to 3 digits

What is 2.718?

200

They are two different people who both claim to have invented Calculus (name both)

Who are Issac Newton and Gottfried Leibniz?

300

20th digit of pi

What is 6?