Jambmaths question:
Find the derivative of $y=\frac{{{x}^{7}}-{{x}^{5}}}{{{x}^{4}}}$
Option A:
$.x({{x}^{2}}-1)$
Option B:
$3x({{x}^{2}}-1)$
Option C:
$3{{x}^{2}}-1$
Option D:
$7{{x}^{6}}-5{{x}^{4}}$
Jamb Maths Solution:
$\begin{align} & y=\frac{{{x}^{7}}-{{x}^{5}}}{{{x}^{4}}} \\ & y=\frac{{{x}^{7}}}{{{x}^{4}}}-\frac{{{x}^{5}}}{{{x}^{4}}} \\ & y={{x}^{3}}-x \\ & \frac{dy}{dx}=3{{x}^{2}}-1 \\\end{align}$
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