Observe the following lists for the curve $y = 6 + x - x^{2}$ with the slopes of tangents at the given points; I, II, III, IV
Point
Tangent slope
I: $(1, 6)$
a) $3$
II: $(2, 4)$
b) $5$
III: $(- 1, 4)$
c) $- 1$
IV: $(- 2, 0)$
d) $- 3$

a, b, c, d

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b, c, d, a

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c, d, b, a

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c, d, a, b

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Solution

The correct option is C $c, d, a, b$
$y^{^{'}} = 1 - 2 x$
(A) $m_{1} = - 1$
(B) $m_{2} = - 3$
(C) $m_{3} = 3$
(D) $m_{4} = 5$

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$\begin{matrix} P o i n t & I n v a r i a n t w i t h r e s p e c t t o l i n e a . & (- 3, 2) & (i) & y = 4 b . & (2, - 3) & (i i) & x = 4 c . & (- 1, 4) & (i i i) & y = 2 d . & (4, - 1) & (i v) & x = 2 \end{matrix}$

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Point	Tangent slope
I: $(1, 6)$	a) $3$
II: $(2, 4)$	b) $5$
III: $(- 1, 4)$	c) $- 1$
IV: $(- 2, 0)$	d) $- 3$

Observe the following lists for the curve y=6+x−x2 with the slopes of tangents at the given points; I, II, III, IVPointTangent slopeI: (1,6)a) 3II: (2,4)b) 5III: (−1,4)c) −1IV: (−2,0)d) −3

The correct option is C c,d,a,by′= 1−2x(A) m1=−1(B) m2=−3(C) m3=3(D) m4=5

Observe the following lists for the curve $y = 6 + x - x^{2}$ with the slopes of tangents at the given points; I, II, III, IV
Point
Tangent slope
I: $(1, 6)$
a) $3$
II: $(2, 4)$
b) $5$
III: $(- 1, 4)$
c) $- 1$
IV: $(- 2, 0)$
d) $- 3$

The correct option is C $c, d, a, b$
$y^{^{'}} = 1 - 2 x$
(A) $m_{1} = - 1$
(B) $m_{2} = - 3$
(C) $m_{3} = 3$
(D) $m_{4} = 5$