The slopes of the tangents at the points where the curve y=x2−4x intersects the x – axis is

The slopes of the tangents at the points where the curve $y = x^{2} - 4 x$ intersects the x - axis is

A
$\pm 1$
B
$\pm 2$
C
$\pm 3$
D
$\pm 4$

Solution:

Put y = 0 then x=0 or 4, $\frac{d y}{d x} = 2 x - 4 t h e n s l o p e o f \tan g e n t a t (0, 0) i s - 4, a t (4, 0) i s 4$

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