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The slope of the normal to the curve y=2...

The slope of the normal to the curve `y=2x^2+3`sin x at `x = 0`is(A) 3 (B) `1/3` (C)`-3` (D) `-1/3`

A

3

B

`1/3`

C

`-3`

D

`-1/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Equation of curve
`y = 2x^(2) + 3 sin x`
` rArr (dy)/(dx) = 4x + 3 cos x`
slope of tangent at `x=0 is 0+3=3`
` rArr "at "x=0," slope of normal "=-1/3`
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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6.3
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