Derivative via mathematica
I just used mathematica for a couple of days. I am trying to compute
the derivative under mathematica. Because the function is complicated,
I like to break it down.
f[t_] = (m/(1+Exp[1/t] +b)
Here m and b are functions of t.
If I directly use command D after insert m and b terms, a very
complicated equaion is gerenated, which I do not want.
What I want is if I define the values of m' and b', rewrite the f
m' = p
b' = q // well, I dont know how to define, this is the idea
f[t_, m[t], b[t]] = (m/(1+Exp[1/t] +b)
then use the command D[f[t,m[t],b[t]],t] hopeful get a equation which is
the function of t, p and q. How to do that?
A related question, I tried to use non-defined function In:= m[t_]
and expected D[f[t,m[t],b[t]],t] contains m'[t]. Is it possible?
Basically, it is a chain derivative question, I just want it to stop
Could somebody help?
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