Please get out several sheets of paper and something to write with

DERIVATIV E Jeopardy

$200 $400 $600 $800 $1000 Power Rule Sine and Cosine Exponentials Logarithms Second Derivatives

Col 1-1 f(x) = x 2 + 2x + 1 Answer Grid What is 2x + 2? $200

Col 1-2 Answer Grid What is 12x 2 – 4x + 1? $400 f(x) = 4x 3 - 2x 2 + x

Col 1-3 Answer Grid What is 2x -1/2 ? $600 f(x) = 4x 1/2

Col 1-4 Answer Grid What is -4x -3 ? $800 f(x) = 2 / x 2

Col 1-5 Answer Grid $1000 What is 1 / 2 x -1/2 + x -2 ? f(x) = √x - 1 / x

Col 2-1 Answer Grid What is 2 cos (2x)? $200 f(x) = sin (2x)

Col 2-2 Answer Grid What is -2x sin (x 2 )? $400 f(x) = cos (x 2 )

Col 2-3 Answer Grid What is -6x sin (3x 2 )? $600 f(x) = cos (3x 2 )

Col 2-4 Answer Grid $800 What is -2 (2x – 2) cos (x 2 – 2x) sin (x 2 – 2x)? f(x) = cos 2 (x 2 – 2x)

Col 2-5 Answer Grid What is cos (sin x) cos x? $1000 f(x) = sin (sin x)

Col 3-1 Answer Grid What is 0? $200 f(x) = e

Col 3-2 Answer Grid What is 4e 4x ? $400 f(x) = e 4x

Col 3-3 Answer Grid What is 3(2 3x ln 2)? $600 f(x) = 2 3x

Col 3-4 Answer Grid What is (2x – 2) e (x – 2x) ? $800 f(x) = e (x – 2x) 2 2

Col 3-5 Answer Grid What is e sin x cos x? $1000 f(x) = e sin x

Col 4-1 Answer Grid What is 1 / x ? $200 f(x) = ln (2x)

Col 4-2 Answer Grid What is 2 / x ? $400 f(x) = ln (x 2 )

Col 4-3 Answer Grid What is 2 / (2x + 1) ? $600 f(x) = ln (2x + 1)

Col 4-4 f(x) = ln (sin x) Answer Grid $800 What is cot x or cos x / sin x ?

Col 4-5 f(x) = ln (x 3 e x ) Answer Grid $1000 What is 3 / x + 1?

Col 5-1 Answer Grid What is 12? $200 Find the second derivative: f(x) = 6x 2 – 5x + 17

Col 5-2 The degree of the function f(x) = (x – 1)(x – 2) 2 (x – 3) 3. Answer Grid What is 4e 2x ? $400 Find the second derivative: f(x) = e 2x

Col 5-3 Answer Grid What is –sin x? $600 Find the second derivative: f(x) = sin x

Col 5-4 Answer Grid What is -x -2 ? $800 Find the second derivative: f(x) = ln x

Col 5-5 Answer Grid What is 36x 2 + cos x + e x ? $1000 Find the second derivative: f(x) = 3x 4 – cos x + e x

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Final jeopardy Make your wagers…

Final jeopardy Find the derivative of: f(x) = 4 / (x 2 – sin x) What is -4(x 2 – sin x) -2 (2x – cos x)?

x y end

-2 {x: -4  x < 7} {x: x ≠ 4} 1 {x: x  -2 or x  5} y = -2/3x – 4-2, 0-6, 2undefined x-axis symmetry x = 3(3, -4)4, -4 So I Married an Axe Murderer y = -2x + 2 Doesn’t pass vertical line test odd(b) (-4, 0) and (5, 0) y = -4/3x – 7 (- , 0) and (3, +  ) {x: x  3 and x ≠ 5} 16 Lines Graph Analysis AlgebraFunctionsReview ANSWER key