(Solved) I need help on this one calc. question?

ijenniferrr

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11 years ago

The reproduction rate of the fruit fly Drosophila melanogaster, grown in bottles in a laboratory, decreases as the bottle becomes more crowded. A researcher has found that when a bottle contains p flies, the number of offspring per female per day is given below.

f(p) = (34 ? 0.612p)*p^ -.658

f(11) = 5.63
but how do I find f ' (11)?
and how about: Estimate the decrease in daily offspring per female when p is increased from 11 to 12

Please & thank you!

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ihatebio

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11 years ago

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ijclement

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11 years ago

I'd like you see the picture of f(x)

Download Graph 4.4 from www.padowan.dk for free.

On "Axes", change the range of X edge from - 5 to 20.

On "Axes", change the range of Y edge from - 5 to 50, then "OK".

On "Function I Insert function", type (34 ? 0.612*p)*p^( - 0.658), then "OK"

You'll see that when p increases one unit, f(p) decreases 0.432519949

f(p):=(34-0.612*p)*p^(-0.658)

f(12) = 5.196294059
f(11) = 5.628814008

V(f(p)) = 5.196294059 - 5.628814008 = - 0.432519949

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