Differentiation of a function

You need to show us your attempt. Are you familiar with the quotient rule and so on?

 

FYI, you wrote

[tex]
f(t)=\frac{100t}{2t}+15
[/tex]

Is that what you meant? If you meant to write

[tex]
f(t)=\frac{100t}{2t+15}
[/tex]

then you need to use parentheses.

 

I'm almost certain he means the later, or the answer is pretty basic in fact it barely requires calculus.

[tex]
f(t)=\frac{100t}{2t+15}
[/tex]

Have you tried the quotient rule? Please show working?