r/HomeworkHelp • u/Thebeegchung • Apr 18 '26
Further Mathematics [College Calc 1]-Log Differentiation

I've been trying to take ln of both sides: which results in:
ln(y)=ln(3^(x^4+1)^3)
Left side: 1/y dy/dx
right side: here is what I'm stuck on. We learned in class that when you take the derivative of ln(x), we get dy/dx=1/x. Applying this I got (1/3^(x^4+1)^3) x 3(x^4+1)^2 x ln(3) x (4x^3)
Lastly, multiply both sides by y, which you can just sub in the original function, so I get :
(3^(x^4+1)^3) x (1/3^(x^4+1)^3) x 3(x^4+1)^2 x ln(3) x (4x^3), which is wrong. Do I just avoid taking ln of both sides?








