Find the equation of the tangent to the parabola y = x2 + x + 1 at (0, 1)

Question

Find the equation of the tangent to the parabola y = x2 + x + 1 at (0, 1)

Suresh Chand · Accepted Answer

Solution Given y = x2 + x + 1 Differentiating with respect to x, we get (frac{dy}{dx} = 2x + 1) When x = 0 then y = 1 so (0, 1) lies on the curve (frac{dy}{dx}) = 2 × 0 + 1 = 1 So, Equation of tangent is given by y - y1 = m(x - x1) y - 1 = 1 (x - 0) x - y + 1 = 0 This is the required tangent equation of given curve.

Find the equation of the tangent to the parabola y = x² + x + 1 at (0, 1)

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Find the equation of the tangent to the parabola y = x2 + x + 1 at (0, 1)

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Find the equation of the tangent to the parabola y = x² + x + 1 at (0, 1)