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f(x)= 1/x+2

find the derivative using the limit definition.

I know the answer and I know the limit definition and how it works, I just can't get the algebra right.

limf(x) =f(x+deltax)-(f(x)) / delta x

=1/(x+deltax+2) - (1/x+2) / delta x

once I get here I'm not sure what I should do. I know it's easy, but I haven't done algebra for years so I'm a bit rusty.

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physics:

A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600mi due east, but a wind is blowing at 50mph in the direction 30 degrees north of east.

a ) In what direction must the pilot head the plane in order to reach her destination?

b ) How long will the trip take?

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physics:

A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600mi due east, but a wind is blowing at 50mph in the direction 30 degrees north of east.

a ) In what direction must the pilot head the plane in order to reach her destination?

b ) How long will the trip take?

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Our lab was to see if diffusion would occur faster in hot water or cold water. We only used one drop.

What do you think would happen if you put more than one drop of food coloring into the water? Why?

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