Chain Rule

1. The problem statement, all variables and given/known data
Finda dw/dt
w=3xy/x²-y²
x=t³
y=e^2t

2. Relevant equations
w=(3t³e^2t)/(t⁶-e^4t)


3. The attempt at a solution
Well,is there anothe way to solve this, instead of dw/dt; like dw/dx * dw/dt + dw/dy * dy/dt ?
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

 

Chain Rule Exponential and logarithmic

f(x) = ln [ e^ln(x+1) ]
f' = ?

 

f(x) = ln { e^[ln(x+1)] }

well, i have this answer, but i dont understand
ln [ e^ln(x+1) ] = ln(x+1)

f'(x) = 1/(e^ln(x+1)) * e^ln(x+1) * 1/(x+1) = 1/(x+1)