What is the tangent of y=2x-2x^2,\at x=-1.5 ?

The tangent of y=2x-2x^2,\at x=-1.5 is y=8x+4.5

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tangent of y=2x-2x^2,\at x=-1.5

tangent of

y = 2 x - 2 x^{2}, at x = - 1.5

y = 8 x + 4.5

Solution steps

Find the tangent point:

(- 1.5, - 7.5)

Find the slope of

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

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 = 8

Find the line with slope m=

8

and passing through

(- 1.5, - 7.5) : y = 8 x + 4.5

y = 8 x + 4.5

What is the tangent of y=2x-2x^2,\at x=-1.5 ?
The tangent of y=2x-2x^2,\at x=-1.5 is y=8x+4.5