What is the tangent of 2x^2-2x-4,\at x=1 ?

The tangent of 2x^2-2x-4,\at x=1 is y=2x-6

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tangent of 2x^2-2x-4,\at x=1

tangent of

2 x^{2} - 2 x - 4, at x = 1

y = 2 x - 6

Solution steps

Find the tangent point:

(1, - 4)

Find the slope of

y = 2 x^{2} - 2 x - 4 : \frac{d y}{d x} = 4 x - 2

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 2

Find the line with slope m=

2

and passing through

(1, - 4) : y = 2 x - 6

y = 2 x - 6

What is the tangent of 2x^2-2x-4,\at x=1 ?
The tangent of 2x^2-2x-4,\at x=1 is y=2x-6