AM-2094

Tangents and normals

A Math · Secondary 4 · Hard · Tangents and normals

The curve

y=\dfrac{18}{x+1}-5

intersects the

x

-axis at point

P

. Find the equation of the tangent to the curve at

P

.

$y=-\dfrac{25}{18}\Bigl(x-\dfrac{13}{5}\Bigr)$
$y=\dfrac{25}{18}\Bigl(x-\dfrac{13}{5}\Bigr)$
$y=-\dfrac{18}{25}\Bigl(x-\dfrac{13}{5}\Bigr)$
$y=\dfrac{18}{25}\Bigl(x-\dfrac{13}{5}\Bigr)$

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