JAMB 2012 · UTME · Q37

Calculus (JAMB bridge)

If $y = x^2 - \dfrac1x$ , find $\dfrac{dy}{dx}$ .

Worked solution (try it first)

Write $y = x^2 - x^{-1}$ .
Differentiate: $x^2$ gives $2x$ , and $-x^{-1}$ gives $-(-1)x^{-2} = x^{-2}$ .
So $\frac{dy}{dx} = 2x + \frac{1}{x^2}$ , option D.

Report a problem with this question