WAEC - Further Mathematics (2017 - No. 26)
Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.
10x+1
10x+2
x(15x+1)
x(15x+2)
Explanation
This can be done either by using quotient rule or by direct division of the equation, then differentiate.
\(\frac{\mathrm d}{\mathrm d x} \left( \frac{5x^{3} + x^{2}}{x} \right)\)
= \(\frac{\mathrm d}{\mathrm d x} \left ( \frac{5x^{3}}{x} + \frac{x^{2}}{x} \right)\)
= \(\frac{\mathrm d}{\mathrm d x} \left ( 5x^{2} + x \right)\)
= \(10x + 1\)
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