First slide

Tangents and normals

Question

The slope of the tangent to the curve $y = 6 + x - x^{2}$ at (2, 4) is

Moderate

A

$10$
B

$\frac{1}{3}$
C

–3
D

–7

Solution

$y = 6 + x - x^{2}, P (2, 4)$
slope $= {(\frac{d y}{d x})}_{(2, 4)} = 1 - 2 x = - 3$

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