The equation of the tangent to the curve y-2 x2-3 sin x at x-0 isA- x-3 y-0B- x-4 y-0C- 4 x-y-0D- 3 x-y-0

The correct option is D 3x – y = 0 when x=0, y=0, pt=(0,0) dy/dx=4x + 3cos x Slope =m= dy/dx/x = 0^=3 Equation of tangent at (0,0) is y=3x⇒ 3x y=0 ...

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Byju's Answer

Standard XII

Mathematics

Tangent of a Curve y =f(x)

The equation ...

Question

The equation of the tangent to the curve $y = 2 x^{2} + 3 s i n x a t x = 0$ is

3x – y = 0

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x + 3y = 0

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4x – y = 0

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x + 4y = 0

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Solution

The correct option is A
3x – y = 0

$when x=0, y=0, pt=(0,0) \frac{d y}{d x} = 4 x + 3 c o s x S l o p e = m = \frac{d y}{d x} / x = 0^{= 3} Equation of tangent at (0,0) is y=3x \Rightarrow 3 x - y = 0$

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

The correct option is A 3x – y = 0 when x=0, y=0, pt=(0,0)dydx=4x+3cos xSlope=m=dydx/x=0=3Equation of tangent at (0,0) is y=3x⇒3x−y=0

The equation of the tangent to the curve $y = 2 x^{2} + 3 s i n x a t x = 0$ is

The correct option is A
3x – y = 0

$when x=0, y=0, pt=(0,0) \frac{d y}{d x} = 4 x + 3 c o s x S l o p e = m = \frac{d y}{d x} / x = 0^{= 3} Equation of tangent at (0,0) is y=3x \Rightarrow 3 x - y = 0$