If y = 243(4x + 5)

^{-2}, find (frac{dy}{dx}) when x = 1-
**A.**

(frac{-8}{3}) -
**B.**

(frac{3}{8}) -
**C.**

(frac{9}{8}) -
**D.**

-(frac{8}{9})

##### Correct Answer: Option A

##### Explanation

y = 243(4x + 5)^{-2}, find (frac{dy}{dx})

= -1944(4x + 5)_{-3}

= 1944(9)_{-3}

(frac{dy}{dx}) when x = 1

= -(frac{1944}{9^3})

= -(frac{1944}{729})

= (frac{-8}{3})