Calculas Derivative Word Problem

[marko02]

I'm stuck on a word problem where you need to use derivatives to solve the equation

The question is as follows: A sum of $100 is iinvested in an enterprise with an unknown risk. However after t months the value of the investment, in dollars, is

\(\displaystyle \displaystyle 100 + \frac{100t^2}{t^2+1}\)

What is the Rate at which the investment is changing? Simplify the expression and evaluate after 1 month.

I am trying to find the derivative but everything I come up with is not right. Help please and thank you

 

[Deleted member 4993]

I'm stuck on a word problem where you need to use derivatives to solve the equation

The question is as follows: A sum of $100 is iinvested in an enterprise with an unknown risk. However after t months the value of the investment, in dollars, is

\(\displaystyle \displaystyle 100 + \frac{100t^2}{t^2+1}\)

What is the Rate at which the investment is changing? Simplify the expression and evaluate after 1 month.

I am trying to find the derivative but everything I come up with is not right. Help please and thank you

Please share your work with us - so that we may know where to begin to help you.

 

[pka]

A sum of $100 is iinvested in an enterprise with an unknown risk. However after t months the value of the investment, in dollars, is
\(\displaystyle \displaystyle 100 + \frac{100t^2}{t^2+1}\)
What is the Rate at which the investment is changing? Simplify the expression and evaluate after 1 month.

I am not really sure that I understand what you are asking for.

The derivative is \(\displaystyle \dfrac{200t}{(t^2+1)^2}\).