Calculus Derivatives

Basic Derivatives

100

What is the derivative of y = 3x² ?

y' = 6x

200

Find the derivative of f(x) = 5

0

300

Find the derivative of f(x) = 6x³ + x - 2

18x² + 1

400

Find the derivative of f(x) = 3x⁴ + 4x³ - 2x²

12x³ + 12x² - 4x

Product and Quotient Rule

100

Find the derivative of y = 3x² (x+1)

9x² + 6x

200

f(x) = (3x - 2x²)(5 + 4x)

-24x² + 4x + 15

300

Find the derivative of y = (5x - 2)/(x² + 1)

(-5x² + 4x + 5)/(x² + 1)²

400

Find the derivative of f(x) = (2x + 5)/(x)^1/2

(2x - 5)/(2x^3/2)

Position, Velocity, Acceleration

100

The derivative of position

Velocity

200

The derivative of velocity

Acceleration

300

The direction a particle is moving at t = 2 for position = 5x² + 6x - 10

Right

400

Whether the particle is increasing or decreasing it's speed at t = 1 for position = 5x² - 6x - 10

Decreasing

Miscellaneous

100

Everyone's favorite platform to do homework on

Delta Math

200

This person draws the "best" diagrams

Mr. Phillips

300

The alma mater of Mr. Phillips

University of Kentucky

400

A phrase Mr. Phillips' uses to denote understanding

"Clear as mud"