Application of Derivatives — Class 12 Maths Solution

ncert exercise SA NCERT Ex. 6.2, Q.1,Page 205
Question

Show that the function given by $f(x) = 3x + 17$ is strictly increasing on $R$.

Step-by-step Solution

We have, $f(x) = 3x + 17$ …(i)
$f(x)$ being a polynomial function, is continuous and derivable on $R$.

Differentiating (i), w.r.t. $x$, we get $f(x) = 3 > 0\forall x \in R$
$\Rightarrow f$ is strictly increasing on $R$.

← All Application of Derivatives solutions Practice tests →

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Application of Derivatives. Curated by Sachin Sharma. Free for all students.