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December 12, 2017 Using only addi,on, show how you can add eight 8's to get the number 1,000? Brain Teaser You only have a 3-gallon jug and a 5-gallon jug. You need to measure out exactly 7 gallons of water from the faucet. How can you do it? Provide a step by step process Brain Teaser

Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

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Page 1: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Usingonlyaddi,on,showhowyoucanaddeight8'stogetthenumber1,000?

Brain Teaser

You only have a 3-gallon jug and a 5-gallon jug. You need to measure out exactly 7 gallons of water from the faucet. How can you do it? Provide a step by step process

Brain Teaser

Page 2: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Page 3: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Page 4: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Today we will be:

Finding the Derivative of Function Equations

Page 5: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Four-Step Method to Find f'(x)

1. Begin with a typical point (x, f(x))

2. Choose a close point (x+h, f(x+h))

3. Write a formula for the slope of the secant line between the two points

Four-Step Method to Find f'(x)

4. Evaluate the limit of the slope of the secant line as h approaches 0

in other words find the slope of _____________

Page 6: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Derivative Formula

Find the derivative using the derivative formula

Page 7: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Find the derivative using the derivative formula

Page 8: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Find the derivative using the derivative formula

Page 9: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

Find the derivative using the derivative formula

Find the derivative using the derivative formula

Page 10: Brain Teaser · 2017-12-12 · December 12, 2017 Four-Step Method to Find f'(x) 1. Begin with a typical point (x, f(x)) 2. Choose a close point (x+h, f(x+h)) 3. Write a formula for

December 12, 2017

HW

Find the derivative of each of the following:


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