THIS IS With Host... Your 100 200 300 400 500 Derivatives Diff’ability Physics Inverse Functions Exponential & Logs Special Rules.

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Sec 2.8: The Derivative as a Function

Presentation transcript:

THIS IS

With Host... Your

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

Derive: y = tan x A 100

dy/dx = sec 2 x A 100

A 200

A 300 Write the definition of the derivative.

A 300

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

y – 1 = 5(x – 2) A 400

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

A 500 f ‘ (x)

Find f ’(x). f (x) = xcosx B 100

f ’ (x) = cosx – xsinx B 100

B 200

B 300

Find y”. y = tan x B 400

B 500

(0,1) B 500

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

TRUE C 100

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

FALSE C 200

C 300

(- ,-2)  (-2,2)  (2,  ) C 300

DAILY DOUBLE C 400 DAILY DOUBLE Place A Wager

C 400

x = 2 C 400

C 500

The derivative of position D 100

Velocity

Derivative of Velocity D 200

Acceleration

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

D 300 Jerk

D nd derivative of position

Acceleration D 400

A particle not moving means… D 500

Velocity is zero D 500

E 100

E 200

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

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

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

F 100

F 200

F 300

F 400

F 500

y = x – F 500

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

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

What is IT? Click on screen to continue

Thank You for Playing Jeopardy!