What is the tangent of y=3x^2+4x+4,(1,1) ?

The tangent of y=3x^2+4x+4,(1,1) is y=2(5+sqrt(30))x-9-2sqrt(30) \lor y=-2(sqrt(30)-5)x+2sqrt(30)-9

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tangent of y=3x^2+4x+4,(1,1)

tangent of

y = 3 x^{2} + 4 x + 4, (1, 1)

y = 2 (5 + 30) x - 9 - 230 or y = - 2 (30 - 5) x + 230 - 9

Solution steps

Slope of the tangent line at

(1, 1) : m = \frac{3 x ^{2} + 4 x + 3}{x - 1}

Find the slope of

y = 3 x^{2} + 4 x + 4 : m = 6 x + 4

Solve

6 x + 4 = \frac{3 x ^{2} + 4 x + 3}{x - 1} : x = \frac{3 + 30}{3}, x = \frac{3 - 30}{3}

Find the tangent line at

x = \frac{3 + 30}{3} : y = 2 (5 + 30) x - 9 - 230

Find the tangent line at

x = \frac{3 - 30}{3} : y = - 2 (30 - 5) x + 230 - 9

y = 2 (5 + 30) x - 9 - 230 or y = - 2 (30 - 5) x + 230 - 9

- 0.0087 x^{2} - 0.4587 x + 18.031, [0, 15]

\frac{d}{d x} (\frac{e ^{x}}{2 x ^{2} + 9})

x \cdot y \cdot y^{^{'}} = 1 - x^{2}

\frac{d}{d x} (\frac{x ^{3} - x}{x})

\frac{d}{d x} (\frac{4}{( x ^{3} + 9 ) ^{5}})

What is the tangent of y=3x^2+4x+4,(1,1) ?
The tangent of y=3x^2+4x+4,(1,1) is y=2(5+sqrt(30))x-9-2sqrt(30) \lor y=-2(sqrt(30)-5)x+2sqrt(30)-9