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
-\(\frac{8}{9}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
y = 243(4x + 5)-2, find \(\frac{dy}{dx}\)
= -1944(4x + 5)-3
= 1944(9)-3
\(\frac{dy}{dx}\) when x = 1
= -\(\frac{1944}{9^3}\)
= -\(\frac{1944}{729}\)
= \(\frac{-8}{3}\)
Source: Myschool Past Questions Archive (Record #30737)