review- rules of derivatives
TRANSCRIPT
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
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Topic 1: 600• Question:• Determine the slope of the tangent line for .• Answer• 2
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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
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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!