roblem #$9$:

Let $f(x)=e^{\frac{2}{x^4}}.$ Find a simplified expression for $f^{\text{'}\text{'}}(x).$

$(A)8e^{\frac{2}{x^4}}(\frac{5x^4+8}{x^8})$

$(B)8e^{\frac{2}{x^4}}(\frac{5x^4+8}{x^{10}})$

$(C)10e^{\frac{2}{x^4}}(\frac{7x^4+8}{x^{10}})$

$(D)-8e^{\frac{2}{x^4}}(\frac{6x^4-12}{x^8})$

$(E)12e^{\frac{2}{x^4}}(\frac{7x^4+8}{x^8})$

$(F)-10e^{\frac{2}{x^4}}(\frac{5x^4-8}{x^{10}})$

$(G)-10e^{\frac{2}{x^4}}(\frac{6x^4-12}{x^{10}})$

$(H)-8e^{\frac{2}{x^4}}(\frac{5x^4-8}{x^8})$