Question

The slope of the normal to the curve y = 2x² + 3 sin x at x = 0 is

(A) 3                            (B)   1/3               
(C) −3                           (D) -1/3

Answer 1

The equation of the given curve is .
Slope of the tangent to the given curve at x = 0 is given by,

Hence, the slope of the normal to the given curve at x = 0 is

The correct answer is D.