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Published byFernanda Dorsett Modified about 1 year ago

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THIS IS

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With Host... Your

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Derivatives Diff’ability Physics Inverse Functions Exponential & Logs Special Rules

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Derive: y = tan x A 100

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dy/dx = sec 2 x A 100

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A 200

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A 300 Write the definition of the derivative.

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A 300

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Write the equation of the tangent line to the graph of f (x) if f (2) = 1 and f ’(2) = 5 A 400

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y – 1 = 5(x – 2) A 400

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Sketch f ’(x) given f (x). A 500 f (x)

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A 500 f ‘ (x)

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Find f ’(x). f (x) = xcosx B 100

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f ’ (x) = cosx – xsinx B 100

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B 200

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B 300

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Find y”. y = tan x B 400

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B 500

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(0,1) B 500

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True or False. If f has a derivative at x = a, then f is continuous at x = a. C 100

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TRUE C 100

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True or False. If f is continuous at x = a, then f has a derivative at x = a. C 200

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FALSE C 200

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C 300

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(- ,-2) (-2,2) (2, ) C 300

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DAILY DOUBLE C 400 DAILY DOUBLE Place A Wager

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C 400

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x = 2 C 400

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C 500

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The derivative of position D 100

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Velocity

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Derivative of Velocity D 200

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Acceleration

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D 300 Derivative of Acceleration (or the person next to you)

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D 300 Jerk

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D nd derivative of position

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Acceleration D 400

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A particle not moving means… D 500

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Velocity is zero D 500

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E 100

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E 200

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If f (2) = 3 and f ’(2) = 7 and g(x) = f -1 (x), find g’(3). E 300

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If f (1) = 6, f (6) = 5, f ’(1) = 3, f ’(6) = 4 and g(x) = f -1 (x), find g’(6). E 400

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If f (2) = 5, f (6) = 2, f ’(2) = 3, f ’(6) = 4 and g(x) = f -1 (x), find the equation of the tangent line of g(x) at x = 2. E 500

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F 100

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F 200

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F 300

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F 400

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F 500

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y = x – F 500

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The Final Jeopardy Category is: Terminology/Notation Please record your wager. Click on screen to begin

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When writing an answer, you should avoid using this pronoun. Click on screen to continue

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What is IT? Click on screen to continue

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Thank You for Playing Jeopardy!

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