Question

Slope of the tangent to $y=(x+2)(x+3)$ at point where curve intersects the $y-$axis is

• A. $2$
• B. $-4$
• C. $5$
• D. $3$

Answer 1

The correct option is C $5$

At $y-$axis, $x=0$
$\Rightarrow y=6$
$\Rightarrow \frac{dy}{dx}=(x+3)+(x+2)=2x+5{\left(\frac{dy}{dx}\right)}_{(0,6)}=5$