Question 36

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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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