Find the derivative of the following function and simplify the answers as much as possible: h(x)=\log _{2}\left(\frac{\sqrt{2 x^{2}+3}}{4^{x}}\right) \text { a) None of the answers listed here. } \text {

b) } \frac{\mathrm{d} h}{\mathrm{~d} x}=\frac{2 x}{\ln (2)\left(2 x^{2}+3\right)} \text { c) } \frac{\mathrm{d} h}{\mathrm{~d} x}=\frac{x}{2 \log _{2}\left(\sqrt{2 x^{2}+3}\right)} \text { d) } \frac{\mathrm{d} h}{\mathrm{~d} x}=\frac{2 x}{\log _{2}(2)\left(2 x^{2}+3\right)}-1 \text { (e) } \frac{\mathrm{d} h}{\mathrm{~d} x}=\frac{2 x}{\left(2 x^{2}+3\right)}-1 \text { f) } \frac{\mathrm{d} h}{\mathrm{~d} x}=\frac{2 x}{\ln (2)\left(2 x^{2}+3\right)}-1