Derivitves and prime function: number of tree species S in a given area A...

[austinsharp73]

I've been stuck on this question for almost an hour at work and cannot solve it.

The number of tree species S in a given area A in the Pasoh Forest Reserve in Malaysia has been modeled by the power function
S(A) = 0.882A^0.842

Where A is measured in square meters, find S ' (100) and interperet your answer.

 

[Deleted member 4993]

I've been stuck on this question for almost an hour at work and cannot solve it.

The number of tree species S in a given area A in the Pasoh Forest Reserve in Malaysia has been modeled by the power function
S(A) = 0.882A^0.842

Where A is measured in square meters, find S ' (100) and interperet your answer.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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[stapel]

The number of tree species S in a given area A...as been modeled by...S(A) = 0.882A^0.842

...find S ' (100) and interperet your answer.

You have been given a function. You have been asked to find the derivative of that function, to evaluate that function at a given input value, and then to interpret the result. What did you get for the derivative? What did you get when you plugged the given value in for the given variable?

I've been stuck on this question for almost an hour...

Then you should have plenty of attempts that you can show us. Please be complete. Thank you! :wink: