Question

How to find the derivative???

Answer 1

`e^(2x) = \ln(y^3)\\\\\implies e^(2x) = 3 \ln y\\\\\implies (d)/(dx) e^(2x) = 3(d)/(dx)( \ln y)\\\\\implies 2e^(2x) = 3 \cdot \frac 1y \cdot (dy)/(dx)\\\\\implies 3(dy)/(dx) = 2ye^(2x)\\\\\implies (dy)/(dx) = \frac{2y}3 e^(2x)`