AM-1730

Differentiating standard functions

A Math · Secondary 4 · Medium · Differentiating standard functions

The total surface area

S

of a solid (in

\text{cm}^2

) is given by

S = 50\left(\dfrac{1}{x} + \dfrac{x}{10}\right)

, where

x>0

. Find

\dfrac{dS}{dx}

.

$50\left(-\dfrac{1}{x^2} + \dfrac{1}{10}\right)$
$50\left(\dfrac{1}{x^2} + \dfrac{1}{10}\right)$
$50\left(-\dfrac{1}{x} + \dfrac{1}{10}\right)$
$50\left(-\dfrac{2}{x^2} + \dfrac{1}{10}\right)$

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