3.57: Connected rates for a ln function

It is given that $y = \ln(2x^{2} - 3x + 1)$ for $x > \dfrac{3}{2}$ or in the domain where defined. When $x = 1$, $y$ is increasing at $h$ units per second. Find, in terms of $h$, the corresponding rate of change in $x$ in exact form.