Question

y = sinx cosx tanx^3/ √x, find dy/dx with logarithmic differentiation

Answer 1

\[y=\frac{\sin(x)\cos(x)\tan(x^3)}{\sqrt{x}}\]
is that the equation?

Answer 2

yes

Answer 3

take the log, get
\[\ln(\sin(x))+\ln(\cos(x))+\ln(\tan(x))-\frac{1}{2}\ln(x)\] then take the derivative piece by piece
then multiply by the original function

Answer 4

\[\ln(\sin(x))+\ln(\cos(x))+\ln(\tan(x^3))-\frac{1}{2}\ln(x)\]
forgot the x cubed! sorry