review- rules of derivatives

Welcome!Today’s Topic is: Derivatives

DerivativesLimit Definition & Equation of the Tangent Line

Basic Derv. (including trig)

Product and Quotient Rule (including trig)

Chain Rule (including trig)

Complex Derv. (including higher order)

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

Bonus Question: 5000 pts

Limit Defn & y=mx+b: 200• Question: Determine the correct function to find

the derivative using the limit definition. 1. h

a. b. c. d.

• Answer: • BBack

Topic 1: 400• Question:• Determine the correct set-up of the derivative

using the limit definition for:

• Answer

Back

Topic 1: 600• Question:• Determine the slope of the tangent line for .• Answer• 2

Back

Topic 1: 800• Question:• Write the equation of the tangent line for .• Answer• y = -2x – 2.5

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Topic 1: 1000• Question:• Find the equation of the tangent line for at .• Answer• y = -4.917x + 13.831

Back

Topic 2: 200• Question:• Determine the derivative of . • Answer

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5 3720 6

4y x x x

Topic 2: 400• Question:• Determine the derivative of

• Answer

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Topic 2: 600• Question:• Determine the following:

• Answer

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Topic 2: 800• Question:• Determine the derivative of • Answer

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Topic 2: 1000• Question:• Determine the derivative of the following in

the simplest form. • Answer

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Topic 3: 200• Question:• Determine the derivative of

• Answer

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Topic 3: 400• Question:• Determine the derivative of • Answer

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Topic 3: 600• Question:• Determine the derivative of • Answer

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Topic 3: 800• Question:• Determine the derivative of

• Answer

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Topic 3: 1000• Question:• Determine the derivative of • Answer

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Topic 4: 200• Question:• Determine the derivative of • Answer

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Topic 4: 400• Question:• Determine the derivative of • Answer

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Topic 4: 600• Question:• Determine the derivative of • Answer

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Topic 4: 800• Question:• Determine the derivative of • Answer• y’=

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Topic 4: 1000• Question:

• Answer

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Topic 5: 200• Question:• Find the second derivative of

• Answer

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Topic 5: 400• Question:• Find the derivative of

• Answer

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Topic 5: 600• Question:• Determine the derivative of • Answer• or y’ =-4sin-3 x cos x

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Topic 5: 800• Question:• Determine the derivative of

• Answer

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Topic 5: 1000• Question:• Find the slope of the tangent line of at • Answer

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Bonus Question: 5000 pts.

• Question:• Find the second derivative of . Simplify the

first derivative before finding the second derivative.

• Answer• …

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Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!

Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!