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Tangent

Slope of the ...

Question

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

A

2

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B

- 4

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C

5

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D

3

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Solution

The correct option is C $5$
At $y -$ axis, $x = 0$
$\Rightarrow y = 6$
$\Rightarrow \frac{d y}{d x} = (x + 3) + (x + 2) = 2 x + 5 {(\frac{d y}{d x})}_{(0, 6)} = 5$

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