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

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

DERIVATIVEJeopardy

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

$200 f(x) = x2 + 2x + 1 What is 2x + 2? Grid Answer Col 1-1

$400 f(x) = 4x3 - 2x2 + x What is 12x2 – 4x + 1? Grid Answer Col 1-2

$600 f(x) = 4x1/2 What is 2x-1/2? Grid Answer Col 1-3

$800 f(x) = 2/x2 What is -4x-3? Grid Answer Col 1-4

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

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

$400 f(x) = cos (x2) What is -2x sin (x2)? Grid Answer Col 2-2

$600 f(x) = cos (3x2) What is -6x sin (3x2)? Grid Answer Col 2-3

$800 f(x) = cos2 (x2 – 2x) What is -2 (2x – 2) cos (x2 – 2x) sin (x2 – 2x)? Grid Answer Col 2-4

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

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

$400 f(x) = e4x What is 4e4x? Grid Answer Col 3-2

$600 f(x) = 23x What is 3(23x ln 2)? Grid Answer Col 3-3

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

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

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

$400 f(x) = ln (x2) What is 2/x? Grid Answer Col 4-2

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

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

$1000 f(x) = ln (x3ex) What is 3/x + 1? Grid Answer Col 4-5

$200 Find the second derivative: f(x) = 6x2 – 5x + 17 What is 12? Grid Answer Col 5-1

$400 The degree of the function f(x) = (x – 1)(x – 2)2(x – 3)3. Find the second derivative: f(x) = e2x What is 4e2x? Grid Answer Col 5-2

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

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

$1000 Find the second derivative: f(x) = 3x4 – cos x + ex What is 36x2 + cos x + ex? Grid Answer Col 5-5

y x back

Final jeopardy Make your wagers…

Final jeopardy Find the derivative of: f(x) = 4/(x2 – sin x) What is -4(x2 – sin x)-2(2x – cos x)?

y x end

ANSWER key Lines Graph Analysis Algebra Functions Review -2 {x: -4  x < 7} {x: x ≠ 4} 1 {x: x  -2 or x  5} y = -2/3x – 4 -2, 0 -6, 2 undefined 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

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