Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
The slope of the normal to the curve \(y=x^{2}+3x+2\) at the point \((-2,0)\) is
Options:
\(-1\)
\(1\)
\(\frac{1}{2}\)
\(-\frac{1}{2}\)
Correct Answer:
\(1\)
Explanation:
\(\begin{aligned}\left(\frac{dy}{dx}\right)_{(-2,0)}&=2x+3\left|_{(-2,0)}\right.\\ &=-1\end{aligned}\hspace{6 cm}\) Thus Slope of normal \(=1\)