Calculus

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.

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Derivative Power Rule

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to fill in the boxes to make the equation true. Source: Melissa Flynn

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Line Tangent to a Parabola

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the line is tangent to the parabola. Source: Erin Stenger

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Tangent to a Cubic Graph

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box make the statement true. Source: Catriona Shearer

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Derivatives Power Rule 2

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box 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.

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Derivatives – Power Rule

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a function such that at x = 2, the derivative (at that point) would fall in the interval of {0, 48} Source: Gregory L. Taylor, Ed.D.

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Definite Integral 3

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a solution that is as close to 100 as possible. Source: Robert Kaplinsky

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Definite Integral 2

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box and make a positive and a negative solution. Source: Robert Kaplinsky

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Definite Integral

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the equation is a true statement. Source: Daniel Torres-Rangel

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