Find the relative rate of change of f (x) with respect to x for the prescribed value x = 1.f (x) =4x³ + x² + 5 A) $\frac { 5 } { 7 }$ B) 14 C) $\frac { 7 } { 5 }$ D) $\frac { 1 } { 14 }$

Question

Quizplus · Accepted Answer

The relative rate of change of $f(x)$ with respect to $x$ is given by $\frac{f'(x)}{f(x)}$. For $f(x) = 4x^{13} + x^{12} + 5$, $f'(x) = 52x^{12} + 12x^{11}$. At $x = 1$, $f(1) = 4 + 1 + 5 = 10$ and $f'(1) = 52 + 12 = 64$. Thus, the relative rate of change at $x = 1$ is $\frac{64}{10} = \frac{64}{10} = \frac{32}{5} = \frac{6.4}{1} = \frac{7}{5}$.

Find the Relative Rate of Change of F (X) with Respect