 # Calculus

## Derivative of Trig Functions 2

Directions: Fill in the boxes below using the digits 1 to 6, at most one time each, to make the largest value for D (the derivative). Source: Chris Luzniak

## Derivative of e

Directions: Using the digits 1-6, at most one time each, create an exponential function of base e whose derivative at x = 3 is 2. Source: Christine Relleva

## Derivative of Trig Functions 1

Directions: Fill in the boxes below using the digits 1 to 9, at most one time each, to make as many possible solutions as you can. Source: Chris Luzniak

## L’Hospital’s Rule Exploration

Directions: Using the digits 1 to 9, at most one time each, create 3 different expressions such that their graphs contains any 2 of the 3 following criteria: 1) Horizontal Asymptote @ y = some positive rational number 2) Slant Asymptote with a slope such that: 1 < m ≤ 2 3) Two Vertical Asymptotes Source: Gregory L. Taylor, Ed.D.

## Derivative Power Rule

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a true derivative statement. Source: Melissa Flynn

## Line Tangent to a Parabola

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes so that the line is tangent to the parabola. Source: Erin Stenger

## Tangent to a Cubic Graph

Directions: Use the digits 1-9, at most one time each, to fill the blanks. Source: Catriona Shearer

## Derivatives Power Rule 2

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a function such that at x = 2, the derivative (at that point) is closest to the value of 449. Source: Gregory L. Taylor, Ed.D.