1. ## Differentiate an equation

I have to differentiate this equation for a thermo problem but i have forgotten how to do it.

T(y)=(T_s-T_f)exp[-22,000y(m)]+T_f

Initially i was thinking you treat y(m) as a constant and u end up getting 1 for your final answer, however that clearly does not work. T_s and T_f are both T values, just different. Any help is appreciated.

2. ## Re: Differentiate an equation

Originally Posted by Juggalomike
I have to differentiate this equation for a thermo problem but i have forgotten how to do it.

T(y)=(T_s-T_f)exp[-22,000y(m)]+T_f

Initially i was thinking you treat y(m) as a constant and u end up getting 1 for your final answer, however that clearly does not work. T_s and T_f are both T values, just different. Any help is appreciated.
need some help with your notation ... are the subscripted T's constants? what is meant by y(m)? y times m ? y is a function of m ? what is m ?

3. ## Re: Differentiate an equation

the subscripted T's are variables however we are given the values for each and they are constant throughout the problem so id assume they can be treated as constants, also the y(m) meens y as a function of m, similar to the initial T(y)