Cool Calculus

Derivatives

100

Calculate the derivative of 3x² + 2x -3

6x+2

200

Calculate the derivative of (6x³-2x)/(17x²)

6/17 + 2/(17 x² )

300

Calculate the derivative of ln(3x³+2x)

(9x²+2)/(3x³+2x)

400

Calculate the derivative of e^{6x^3+18x}

(18x+18) e^{6x^3+18x}

500

Calculate the derivative of 3^{3x+2x^2}

(4x+3)ln(3) 3^{3x+2x^2}

Definitions

100

What is the definition of the product rule

uv'+vu'

200

What is the definition of the quotient rule

(vu'-uv')/v²

300

What is the definition of the chain rule (HINT put it into words)

Derivative of the outside function times the derivative of the inside function

400

Power rule

derivative of xⁿ = nx^n-1

500

What is the derivative in words

Slope

Famous math people

100

Who is generally known for inventing calculus

Sir Isaac Newton

200

Who invented the famous equation for a right triangle

Pythagoras

300

Who created the equation for mass energy equivalence (HINT E=mc²) 

Albert Einstein

400

Who helped Newton create Calculus

Gottfried Wilhelm Leibniz

500

Who teaches you calculus every wednesday 

Izzy Formica

General Knowledge

100

What state is your math mentor from

New Hampshire

200

What year will be the next leap year

2024

300

Who is on the crib sheet of derivatives that your mentor gave to you

Shawn Mendes

400

What was the last state to join continental US

Arizona

500

What year was RPI founded

1824