The curve (y=-3x^ 6 +x^ 2 ) is tangent to a line at the point where (x=-1 )

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve

y=-3x^{6}+x^{2}

is tangent to a line at the point where

x=-1

. The tangent meets the

y

-axis at point

P

. What is the

y

-coordinate of

P

? (a)

16

(b)

14

(c)

-2

(d)

18