What is the tangent of y=9x-2x^2,(-3,-45) ?

The tangent of y=9x-2x^2,(-3,-45) is y=21x+18

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tangent of y=9x-2x^2,(-3,-45)

tangent of

y = 9 x - 2 x^{2}, (- 3, - 45)

y = 21 x + 18

Solution steps

Find the slope of

y = 9 x - 2 x^{2} : \frac{d y}{d x} = 9 - 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 = 21

Find the line with slope m=

21

and passing through

(- 3, - 45) : y = 21 x + 18

y = 21 x + 18

What is the tangent of y=9x-2x^2,(-3,-45) ?
The tangent of y=9x-2x^2,(-3,-45) is y=21x+18