Calculus

Constructing a Nondifferentiable Function

Directions: Using the digits -9 to 9, at most two times each, place a digit in each box so that the function is nondifferentiable at the given x value. Extension: Can you make the function continuous but nondifferentiable? Source: Owen Kaplinsky

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Power Rule with Polynomials

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box so that the expression for f'(x) is the correct derivative of f(x). Source: Owen Kaplinsky

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Second Derivative

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box so that each expression is the correct derivative of the one above it. Source: Owen Kaplinsky

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Limits on a Graph

Directions: Using the options listed at most once each, create three true limit statements. Source: Dana Harrington

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Fundamental Theorem Of Calculus

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make a derivative as close to 100 as possible. Source: Stephen Spinelli

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Limits

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the statement true. Source: Julia Anker

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Derivative of Trig Functions 2

Directions: Using the digits 1 to 6, at most one time each, place a digit in each box to make the largest value for D (the derivative). Source: Chris Luzniak

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Derivative of e

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

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Derivative of Trig Functions 1

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make as many possible solutions as you can. Source: Chris Luzniak

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