
d := 10^A * Exp[-1/2* (t- E)^2/ ((10^σ)^2)] * (f/r)^-γ​
In[22]:=
d:=(10^A*Exp[-(t-E)^2/(10^σ)^2/2])/(f/r)^γ

D[d, A]/d
alternate interpretations
Assuming "A" is a variable
|
Use as
a unit
instead
In[26]:=
D[d,A]/d
Out[26]=
log(10)

FullSimplify[D[d, σ]]/d
alternate interpretations
Assuming "FullSimplify" is referring to a computation
|
Use as
referring to algebraic simplifications
instead
In[25]:=
FullSimplify[((-E+t)^2*Log[2])/10^(2*σ)+((-E+t)^2*Log[5])/10^(2*σ)]
Out[25]=
-σ
100
2
(-t)
log(10)

D[a^-x, x]
step-by-step solution
related computations
full Wolfram|Alpha results
In[28]:=
D[a^(-x),x]
Out[28]=
-
-x
a
log(a)

FullSimplify[D[d, γ]/d]
alternate interpretations
Assuming "FullSimplify" is referring to a computation
|
Use as
referring to algebraic simplifications
instead
In[31]:=
FullSimplify[-Log[f/r]]
Out[31]=
-log
f
r