Search any question & find its solution
Question:
Answered & Verified by Expert
Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be a function such that
$\mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+\mathrm{x}^{2} \mathrm{f}^{\prime}(1)+\mathrm{xf}^{\prime}(2)+\mathrm{f}^{\prime \prime}(3)$
for $\mathrm{x} \in \mathbf{R}$
What is $\mathrm{f}^{\prime}(1)$ equal to?
Options:
$\mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+\mathrm{x}^{2} \mathrm{f}^{\prime}(1)+\mathrm{xf}^{\prime}(2)+\mathrm{f}^{\prime \prime}(3)$
for $\mathrm{x} \in \mathbf{R}$
What is $\mathrm{f}^{\prime}(1)$ equal to?
Solution:
1909 Upvotes
Verified Answer
The correct answer is:
$-5$
$\mathrm{f}^{\prime}(1)=-5$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.