Applications of Derivatives (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question
Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Applications of Derivatives (p-1)1 Mark
Question
$f(x)=\frac{7}{x}-3, x \in R, x \neq 0$
✓
Answer
$ \begin{aligned} & f ( x )=\frac{7}{x}-3 \\ & \therefore f ^{\prime}( x )=\frac{d}{d x}\left(\frac{7}{x}-3\right)=7\left(-\frac{1}{x^2}\right)-0 \\ & =-\frac{7}{x^2}<0 \text { for all } x \in R , x \neq 0 \\ & \therefore f ^{\prime}( x )<0 \text { for all } x \in R , \text { where } x \neq 0 . \end{aligned} $ $\therefore f$ is decreasing for all $x \in R$, where $x \neq 0$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.