Suppose $f , g \text { and } h$ are functions with values $f ( 1 ) = - 3 , g ( 1 ) = 2 , f ^ { \prime } ( 1 ) = 0 , g ^ { \prime } ( 1 ) = 3 \text {. }$ Find $\left( \frac { g } { f } \right) ^ { \prime } ( 1 )$
A) 3
B) $- \frac { 9 } { 4 }$
C) - 1
D) 1

Question

Quizplus · Accepted Answer

Using the quotient rule: $\left( \frac{g}{f} \right)' = \frac{f \cdot g' - g \cdot f'}{f^2}$. Substituting the given values: $\frac{(-3)(3) - (2)(0)}{(-3)^2} = \frac{-9}{9} = -1$.

Suppose f,g and hf , g \text { and } hf,g and h Are Functions with Values

Suppose $f , g \text { and } h$ Are Functions with Values