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

(A) 3 (B) (C) −3 (D)

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Solution

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.

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Similar questions

Chose the correct answer.

The slope of the normal to the curve $y = 2 x^{2} + 3$ sinx at x=0 is

(a) 3 (b) $\frac{1}{3}$ (c)-3 (d)- $\frac{1}{3}$

The slope of normal to the curve $y = 2 x^{2} + 3 s i n x$ at x = 0 is

x = 3 t^{2} + 1, y = t^{3} - 1

y = 2 x^{2} + 3 sin x

x = 0

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