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})